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[1] MR2947545 Prelim Abouzaid, Mohammed; Nearby Lagrangians with vanishingMaslov class are homotopy equivalent. Invent. Math. 189 (2012), no. 2, 251–313.

[2] MR2893607 Reviewed Cheng, Rong; Xu, Zhongbing The existence of periodicsolutions of a class of differential delay equations by estimating Maslov index.Nanjing Daxue Xuebao Shuxue Bannian Kan 28 (2011), no. 1, 8–15. (Reviewer:Christian Fenske) 34K13 (53D12)

[3] MR2831770 Pending Chardard, Frédéric; Dias, Frédéric; Bridges, Thomas J.Computing the Maslov index of solitary waves, Part 2: Phase space with dimensiongreater than four. Phys. D 240 (2011), no. 17, 1334–1344. 53Dxx (35C08 35K4035K91 35Q55)

[4] MR2821780 Reviewed Wu, Siye Geometric phases in the quantisation ofbosons and fermions. J. Aust. Math. Soc. 90 (2011), no. 2, 221–235. (Reviewer:Daniel Sean Fitzpatrick) 53D50 (32M15 53D12 81Q70)

[5] MR2817146 Reviewed Hu, Xijun; Sun, Shanzhong Variational principle andlinear stability of periodic orbits in celestial mechanics. Progress in variationalmethods, 40–51, Nankai Ser. Pure Appl. Math. Theoret. Phys., 7, World Sci. Publ.,Hackensack, NJ, 2011. (Reviewer: Zhifu Xie) 70F10 (37J45 37N05 70H14)

[6] MR2811652 Reviewed Sarkar, Sucharit Maslov index formulas for Whitney-gons. J. Symplectic Geom. 9 (2011), no. 2, 251–270. (Reviewer: Paolo Ghiggini)

57M27 (53D12 57R17 57R58)

[7] MR2801175 Reviewed Kamgarpour, Masoud; Thomas, Teruji Compatibleintertwiners for representations of finite nilpotent groups. Represent. Theory 15(2011), 407–432. (Reviewer: Thomas Michael Keller) 20C15 (20D15)

[8] MR2787362 Reviewed Alston, Garrett Lagrangian Floer homology of theClifford torus and real projective space in odd dimensions. J. Symplectic Geom. 9(2011), no. 1, 83–106. (Reviewer: Umberto Hryniewicz) 53D40 (53D12)

[9] MR2784294 Reviewed McIntosh, Ian; Romon, Pascal The spectral data forHamiltonian stationary Lagrangian tori in . Differential Geom. Appl. 29 (2011),no. 2, 125–146. (Reviewer: David Brander) 53C42 (14H70 53D12)

[10] MR2780391 Reviewed Ginzburg, Viktor L. On Maslov class rigidity forcoisotropic submanifolds. Pacific J. Math. 250 (2011), no. 1, 139–161. (Reviewer:Hai-Long Her) 53D40 (53D12)

[11] MR2748851 Reviewed Grandati, Y.; Bérard, A. Ma-Xu quantization rule andexact JWKB condition for translationally shape invariant potentials. Phys. Lett. A375 (2011), no. 3, 390–395. (Reviewer: Gabriel Alvarez) 81Q20

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[12] MR2737274 Reviewed Deng, Jian; Jones, Christopher Multi-dimensionalMorse index theorems and a symplectic view of elliptic boundary value problems.Trans. Amer. Math. Soc. 363 (2011), no. 3, 1487–1508. (Reviewer: Juan Molina)35P15 (53D12 58E05)

[13] MR2786542 Reviewed Trofimov, V. V.; Shamolin, M. V. Geometric anddynamical invariants of integrable Hamiltonian and dissipative systems. (Russian)Fundam. Prikl. Mat. 16 (2010), no. 4, 3--229; translation in J. Math. Sci. (N. Y.)180 (2012), no. 4, 365–530 (Reviewer: Alexander Burov) 37J35 (37N05 70H06)

[14] MR2771998 Reviewed Mack, R.; Dahl, J. P.; Moya-Cessa, H.; Strunz, W. T.;Walser, R.; Schleich, W. P. Riemann function from wave-packet dynamics. Phys.Rev. A (3) 82 (2010), no. 3, 032119, 15 pp. (Reviewer: Alberto Parmeggiani)81Q20 (11M35)

[15] MR2760658 Reviewed Chen, Jingyi; Fraser, Ailana Holomorphic variations ofminimal disks with boundary on a Lagrangian surface. Canad. J. Math. 62 (2010),no. 6, 1264–1275. (Reviewer: David F. Martínez-Torres) 58E12 (53C42 53D12)

[16] MR2718142 Reviewed Kerman, Ely; Şirikçi, Nil I. Maslov class rigidity forLagrangian submanifolds via Hofer's geometry. Comment. Math. Helv. 85 (2010),no. 4, 907–949. (Reviewer: Jelena Katić) 53D12 (53C24 53D40)

[17] MR2718126 Reviewed Shelukhin, Egor Remarks on invariants of Hamiltonianloops. J. Topol. Anal. 2 (2010), no. 3, 277–325. (Reviewer: Tobias Ekholm) 53D35(53D12 57R20)

[18] MR2684699 Reviewed Gu, Xiao-Yan The quantization rule and Maslov index.Modern Phys. Lett. B 24 (2010), no. 22, 2303–2316. 81S10

[19] MR2657842 Reviewed Caponio, Erasmo; Javaloyes, Miguel Angel; Piccione,Paolo Maslov index in semi-Riemannian submersions. Ann. Global Anal. Geom. 38(2010), no. 1, 57–75. (Reviewer: Huagui Duan) 53D12 (53C22)

[20] MR2662663 Reviewed Chen, Bang-Yen; Mihai, Adela On purely real surfaceswith harmonic Wirtinger function in complex space forms. Kyushu J. Math. 64(2010), no. 1, 153–168. (Reviewer: Joeri Van der Veken) 53C40 (53C42)

[21] MR2656942 Reviewed Simon, Gabi Ben The geometry of partial order oncontact transformations of prequantization manifolds. Arithmetic and geometryaround quantization, 37–64, Progr. Math., 279, Birkhäuser Boston, Inc., Boston,MA, 2010. (Reviewer: Michael J. Usher) 53D35 (53D12 53D50)

[22] MR2666297 Reviewed Benevieri, Pierluigi; Piccione, Paolo On a formula forthe spectral flow and its applications. Math. Nachr. 283 (2010), no. 5, 659–685.(Reviewer: Nobukazu Otsuki) 58J30 (47A11 47A53 53D12 58E10)

[23] MR2646989 Reviewed Buhovsky, Lev The Maslov class of Lagrangian toriand quantum products in Floer cohomology. J. Topol. Anal. 2 (2010), no. 1,57–75. (Reviewer: David E. Hurtubise) 53D12 (53D40)

[24] MR2646902 Reviewed Bourgeois, Frédéric; van Koert, Otto Contacthomology of left-handed stabilizations and plumbing of open books. Commun.Contemp. Math. 12 (2010), no. 2, 223–263. (Reviewer: David E. Hurtubise) 53D42

ζ


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(53D35 57R17)

[25] MR2563212 Reviewed Hu, Xijun; Sun, Shanzhong Morse index and stabilityof elliptic Lagrangian solutions in the planar three-body problem. Adv. Math. 223(2010), no. 1, 98–119. (Reviewer: Igor Hoveijn) 37J25 (37J45 37N05 53D1258E05 70F07)

[26] MR2629511 Reviewed Joyce, Dominic; Lee, Yng-Ing; Tsui, Mao-PeiSelf-similar solutions and translating solitons for Lagrangian mean curvature flow.J. Differential Geom. 84 (2010), no. 1, 127–161. (Reviewer: Yuguang Zhang)53C44 (53D12)

[27] MR2630063 Reviewed Sarkar, Sucharit; Wang, Jiajun An algorithm forcomputing some Heegaard Floer homologies. Ann. of Math. (2) 171 (2010), no. 2,1213–1236. (Reviewer: Paolo Ghiggini) 57M27 (57R58)

[28] MR2641525 Reviewed Piccione, Paolo; Tausk, Daniel V. An algebraic theoryfor generalized Jordan chains and partial signatures in the LagrangianGrassmannian. Linear Multilinear Algebra 58 (2010), no. 1-2, 89–103. (Reviewer:Roberto Giambò) 53D12 (15A63)

[29] MR2595183 Reviewed Wendl, Chris Automatic transversality and orbifolds ofpunctured holomorphic curves in dimension four. Comment. Math. Helv. 85(2010), no. 2, 347–407. (Reviewer: Umberto Hryniewicz) 32Q65 (53D45 57R17)

[30] MR2580145 Reviewed Capietto, Anna; Dalbono, Francesca; Portaluri,Alessandro A multiplicity result for a class of strongly indefinite asymptoticallylinear second order systems. Nonlinear Anal. 72 (2010), no. 6, 2874–2890.(Reviewer: Miguel Ramos) 34B15 (37J05 37J45 53D12 58E05)

[31] MR2841164 Reviewed Clerc, Jean-Louis Quand Victor Maslov et Élie Cartanse rencontrent... (French) [When Victor Maslov and Élie Cartan meet...] JournéesÉlie Cartan 2006, 2007 et 2008, 41–52, Inst. Élie Cartan, 19, Univ. Nancy, Nancy,2009. (Reviewer: Maurice A. de Gosson) 53D12 (53-03)

[32] MR2598511 Reviewed Chardard, Frédéric; Dias, Frédéric; Bridges, ThomasJ. Computing the Maslov index of solitary waves. I. Hamiltonian systems on afour-dimensional phase space. Phys. D 238 (2009), no. 18, 1841–1867.(Reviewer: Xijun Hu) 37J45 (35C08 35K40 35K91 37J05 37J25 37K05 53D12)

[33] MR2596633 Reviewed Fukaya, K.; Seidel, P.; Smith, I. The symplecticgeometry of cotangent bundles from a categorical viewpoint. Homological mirrorsymmetry, 1–26, Lecture Notes in Phys., 757, Springer, Berlin, 2009. (Reviewer:Timothy Perutz) 53D37 (18G40 53D35 53D40 57R17)

[34] MR2583922 Reviewed Entov, Michael; Polterovich, Leonid Lie quasi-states.J. Lie Theory 19 (2009), no. 3, 613–637. 53D12 (17B99)

[35] MR2558336 Reviewed Kerman, Ely Action selectors and Maslov classrigidity. Int. Math. Res. Not. IMRN 2009, no. 23, 4395–4427. (Reviewer: SonjaHohloch) 53D12 (53D40)

[36] MR2546618 Reviewed Biran, Paul; Cornea, Octav Rigidity and uniruling forLagrangian submanifolds. Geom. Topol. 13 (2009), no. 5, 2881–2989. (Reviewer:


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Tobias Ekholm) 53D12 (53D35 53D40)

[37] MR2539236 Reviewed Babelon, O.; Cantini, L.; Douçot, B. A semi-classicalstudy of the Jaynes-Cummings model. J. Stat. Mech. Theory Exp. 2009, no. 7,P07011, 45 pp. (Reviewer: Alberto Parmeggiani) 81Q20 (81R12 81V80)

[38] MR2550137 Reviewed Javaloyes, Miguel Ángel; Piccione, Paolo Comparisonresults for conjugate and focal points in semi-Riemannian geometry via Maslovindex. Pacific J. Math. 243 (2009), no. 1, 43–56. (Reviewer: Erasmo Caponio)53D12 (53C22 58E10)

[39] MR2560107 Reviewed Ekholm, Tobias; Etnyre, John B.; Sabloff, Joshua M. Aduality exact sequence for Legendrian contact homology. Duke Math. J. 150(2009), no. 1, 1–75. (Reviewer: Lenhard L. Ng) 53D42 (53D35 57R17)

[40] MR2555932 Reviewed Biran, Paul; Cornea, Octav A Lagrangian quantumhomology. New perspectives and challenges in symplectic field theory, 1–44, CRMProc. Lecture Notes, 49, Amer. Math. Soc., Providence, RI, 2009. (Reviewer:Timothy Perutz) 53D40 (53D12 53D42)

[41] MR2538475 Reviewed Albers, Peter; Frauenfelder, Urs Floer homology fornegative line bundles and Reeb chords in prequantization spaces. J. Mod. Dyn. 3(2009), no. 3, 407–456. (Reviewer: Sonja Hohloch) 53D40 (53D50)

[42] MR2553465 Reviewed Fukaya, Kenji; Oh, Yong-Geun; Ohta, Hiroshi; Ono,Kaoru Lagrangian intersection Floer theory: anomaly and obstruction. Part I.AMS/IP Studies in Advanced Mathematics, 46.1. American Mathematical Society,Providence, RI; International Press, Somerville, MA, 2009. xii+396 pp. ISBN:978-0-8218-4836-4 (Reviewer: Michael J. Usher) 53D40 (53D12 53D37)

[43] MR2548482 Reviewed Fukaya, Kenji; Oh, Yong-Geun; Ohta, Hiroshi; Ono,Kaoru Lagrangian intersection Floer theory: anomaly and obstruction. Part II.AMS/IP Studies in Advanced Mathematics, 46.2. American Mathematical Society,Providence, RI; International Press, Somerville, MA, 2009. pp. i–xii and 397–805.ISBN: 978-0-8218-4837-1 (Reviewer: Michael J. Usher) 53D40 (53D12)

[44] MR2524837 Reviewed Chardard, Frédéric; Dias, Frédéric; Bridges, ThomasJ. On the Maslov index of multi-pulse homoclinic orbits. Proc. R. Soc. Lond. Ser. AMath. Phys. Eng. Sci. 465 (2009), no. 2109, 2897–2910. (Reviewer: WalterDambrosio) 37J20 (34C37 37C29 53D12)

[45] MR2534477 Reviewed Damian, Mihai Constraints on exact Lagrangians incotangent bundles of manifolds fibered over the circle. Comment. Math. Helv. 84(2009), no. 4, 705–746. (Reviewer: Michael J. Usher) 53D12 (53D40 57R1757R58)

[46] MR2537081 Reviewed Auroux, Denis Special Lagrangian fibrations,wall-crossing, and mirror symmetry. Surveys in differential geometry. Vol. XIII.Geometry, analysis, and algebraic geometry: forty years of the Journal ofDifferential Geometry, 1–47, Surv. Differ. Geom., 13, Int. Press, Somerville, MA,2009. (Reviewer: Kwokwai Chan) 53D37 (14J33 53C38)

[47] MR2543665 Reviewed Gadbled, Agnès Obstructions to the existence ofmonotone Lagrangian embeddings into cotangent bundles of manifolds fibered


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over the circle. Ann. Inst. Fourier (Grenoble) 59 (2009), no. 3, 1135–1175.(Reviewer: Timothy Perutz) 53D40 (53D12 57R17 57R58 57R70)

[48] MR2525637 Reviewed Hu, Xijun; Sun, Shanzhong Index and stability ofsymmetric periodic orbits in Hamiltonian systems with application to figure-eightorbit. Comm. Math. Phys. 290 (2009), no. 2, 737–777. (Reviewer: Vittorio CotiZelati) 37J45 (47J30 53D12 70F10 70H12 70K20)

[49] MR2538220 Reviewed Hryniewicz, Umberto L.; Salomão, Pedro A. S. Umaintrodução à geometria de contato e aplicações à dinâmica hamiltoniana. [Anintroduction to contact geometry and applications to Hamiltonian dynamics]Publicações Matemáticas do IMPA. [IMPA Mathematical Publications] 27 ColóquioBrasileiro de Matemática. [27th Brazilian Mathematics Colloquium] InstitutoNacional de Matemática Pura e Aplicada (IMPA), Rio de Janeiro, 2009. ii+207 pp.ISBN: 978-85-244-0305-7 (Reviewer: Antonio De Nicola) 53D35 (37J05 37J6053D45)

[50] MR2503496 Reviewed Szabó, Zoltán Lecture notes on Heegaard Floerhomology. Low dimensional topology, 197–228, IAS/Park City Math. Ser., 15,Amer. Math. Soc., Providence, RI, 2009. (Reviewer: Stanislav Jabuka) 57R58(57M27)

[51] MR2531557 Reviewed de Gosson, Maurice On the usefulness of an indexdue to Leray for studying the intersections of Lagrangian and symplectic paths. J.Math. Pures Appl. (9) 91 (2009), no. 6, 598–613. (Reviewer: Frédéric RobertChardard) 53D12 (37J05 53D35)

[52] MR2531874 Reviewed Merigon, Stéphane Corrigendum à "L'indice de Masloven dimension infinie'' [Journal of Lie Theory 18 (2008), 161–180] [MR2413957].(French) [Corrigendum to "L'indice de Maslov en dimension infinie''] J. Lie Theory19 (2009), no. 1, 101–106. 53D12 (17C65 46K70 46T99)

[53] MR2511631 Reviewed Yau, Mei-Lin Monodromy and isotopy of monotoneLagrangian tori. Math. Res. Lett. 16 (2009), no. 3, 531–541. (Reviewer: JelenaKatić) 53D12 (57R17 57R52)

[54] MR2518583 Reviewed Lu, Guangcun; Wang, Mingyan Infinitely many evenperiodic solutions of Lagrangian systems on any Riemannian tori with evenpotential in time. Commun. Contemp. Math. 11 (2009), no. 2, 309–335.(Reviewer: Thomas Bartsch) 37J45 (34C25 58E05 70H03)

[55] MR2505646 Reviewed Offin, Daniel; Cabral, Hildeberto Hyperbolicity forsymmetric periodic orbits in the isosceles three body problem. Discrete Contin.Dyn. Syst. Ser. S 2 (2009), no. 2, 379–392. (Reviewer: Manuele Santoprete)37N05 (34C27 37J15 53D12 70F07)

[56] MR2504587 Reviewed Clerc, Jean-Louis Geometry of the Shilov boundary ofa bounded symmetric domain. J. Geom. Symmetry Phys. 13 (2009), 25–74.(Reviewer: Jacques Faraut) 32M15 (53D12)

[57] MR2485424 Reviewed Blanc-Centi, Léa Stationary discs glued to a Levinon-degenerate hypersurface. Trans. Amer. Math. Soc. 361 (2009), no. 6,3223–3239. (Reviewer: Rasul Shafikov) 32V40 (32A10)

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[58] MR2480643 Reviewed Booss-Bavnbek, Bernhelm; Lesch, Matthias Theinvertible double of elliptic operators. Lett. Math. Phys. 87 (2009), no. 1-2, 19–46.(Reviewer: Kenro Furutani) 58J32 (35J67 58J30 58J50)

[59] MR2468466 Reviewed Meyer, Kenneth R.; Hall, Glen R.; Offin, DanIntroduction to Hamiltonian dynamical systems and the -body problem. Secondedition. Applied Mathematical Sciences, 90. Springer, New York, 2009. xiv+399 pp.ISBN: 978-0-387-09723-7 (Reviewer: Marian Gidea) 37J05 (37N05 70F10 70F1570G45 70H05)

[60] MR2584177 Reviewed Javaloyes, M. A.; Piccione, P. On the isotropicreduction method and the Maslov index. Mat. Contemp. 35 (2008), 73–93.(Reviewer: Erasmo Caponio) 53D12

[61] MR2548587 Reviewed Gu, Xiao-Yan; Sun, Jian-Qiang Notes on application ofWKB method. Commun. Theor. Phys. (Beijing) 50 (2008), no. 4, 864–866. 81Q20

[62] MR2509746 Reviewed Ono, Kaoru A question analogous to the fluxconjecture concerning Lagrangian submanifolds. Proceedings of GökovaGeometry-Topology Conference 2007, 1–14, Gökova Geometry/TopologyConference (GGT), Gökova, 2008. (Reviewer: Tobias Ekholm) 53D12 (53D40)

[63] MR2463805 Reviewed Cho, Cheol-Hyun Non-displaceable Lagrangiansubmanifolds and Floer cohomology with non-unitary line bundle. J. Geom. Phys.58 (2008), no. 11, 1465–1476. (Reviewer: Kwokwai Chan) 53D40 (53D12)

[64] MR2463212 Reviewed Piccione, Paolo; Tausk, Daniel Victor A student'sguide to symplectic spaces, Grassmannians and Maslov index. PublicaçõesMatemáticas do IMPA. [IMPA Mathematical Publications] Instituto de MatemáticaPura e Aplicada (IMPA), Rio de Janeiro, 2008. xiv+301 pp. ISBN:978-85-244-0283-8 (Reviewer: Erasmo Caponio) 53D12 (53D05)

[65] MR2455536 Reviewed Lee, S.-Y.; Rim, S.; Ryu, J.-W.; Kwon, T.-Y.; Choi,M.; Kim, C.-M. Ray and wave dynamical properties of a spiral-shaped dielectricmicrocavity. J. Phys. A 41 (2008), no. 27, 275102, 18 pp. 81V80

[66] MR2410710 Reviewed Agrachev, A. A. Geometry of optimal controlproblems and Hamiltonian systems. Nonlinear and optimal control theory, 1–59,Lecture Notes in Math., 1932, Springer, Berlin, 2008. (Reviewer: Matthias Kawski)49N60 (37J05 37N35 49N90 58E25 93B29)

[67] MR2449528 Reviewed Bechtluft-Sachs, Stefan An integral formula for theMaslov-index of a symplectic path. Rep. Math. Phys. 61 (2008), no. 3, 417–427.(Reviewer: James F. Reineck) 53D12

[68] MR2421366 Reviewed Vicedo, Benoît Semiclassical quantisation of finite-gapstrings. J. High Energy Phys. 2008, no. 6, 086, 47 pp. 81T30

[69] MR2429936 Reviewed Jin, Shi; Yang, Xu Computation of the semiclassicallimit of the Schrödinger equation with phase shift by a level set method. J. Sci.Comput. 35 (2008), no. 2-3, 144–169. (Reviewer: Luis Vázquez) 65M06 (81Q20)

[70] MR2425528 Reviewed De Gosson, Maurice; De Gosson, Serge; Piccione,Paolo On a product formula for the Conley-Zehnder index of symplectic paths and

N


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its applications. Ann. Global Anal. Geom. 34 (2008), no. 2, 167–183. (Reviewer:Yiming Long) 53D12 (37B30 37J45)

[71] MR2431916 Reviewed Barge, Jean; Lannes, Jean Suites de Sturm, indice deMaslov et périodicité de Bott. (French) [Sturm sequences, Maslov index and Bottperiodicity] Progress in Mathematics, 267. Birkhäuser Verlag, Basel, 2008. viii+199pp. ISBN: 978-3-7643-8709-9 (Reviewer: A. A. Ranicki) 19G38 (11E81 19G2455R45)

[72] MR2428390 Reviewed Michor, Peter W. Topics in differential geometry.Graduate Studies in Mathematics, 93. American Mathematical Society, Providence,RI, 2008. xii+494 pp. ISBN: 978-0-8218-2003-2 (Reviewer: Richard H. EscobalesJr.) 53-02 (53C05 53D05 53D17 53D20)

[73] MR2420653 Reviewed Capietto, Anna; Dambrosio, Walter Multiplicity resultsfor superquadratic Dirichlet boundary value problems in . Topol. MethodsNonlinear Anal. 31 (2008), no. 1, 19–28. 34B15 (34C23 37J45)

[74] MR2419695 Reviewed Carl, Michael Bohr-Sommerfeld star products. J.Geom. Phys. 58 (2008), no. 5, 670–681. (Reviewer: Stefan Waldmann) 53D55(47G30 53D12 58J40)

[75] MR2402911 Reviewed Abbondandolo, Alberto; Figalli, Alessio Invariantmeasures of Hamiltonian systems with prescribed asymptotic Maslov index. J.Fixed Point Theory Appl. 3 (2008), no. 1, 95–120. (Reviewer: Yiming Long) 37J05(37J50 53D12)

[76] MR2413957 Reviewed Merigon, Stephane L'indice de Maslov en dimensioninfinie. (French) [The Maslov index in infinite dimension] J. Lie Theory 18 (2008),no. 1, 161–180. (Reviewer: Harald Upmeier) 53D12 (17C65 46K70 46T99)

[77] MR2398153 Reviewed Gu, Xiao-Yan; Dong, Shi-Hai The improvedquantization rule and the Langer modification. Phys. Lett. A 372 (2008), no. 12,1972–1977. (Reviewer: Artur E. Ruuge) 81Q20 (81V45)

[78] MR2385665 Reviewed Fukaya, Kenji; Seidel, Paul; Smith, Ivan ExactLagrangian submanifolds in simply-connected cotangent bundles. Invent. Math.172 (2008), no. 1, 1–27. (Reviewer: Michael J. Usher) 53D12 (53D40)

[79] MR2383511 Reviewed Pejsachowicz, Jacobo Bifurcation of homoclinics ofHamiltonian systems. Proc. Amer. Math. Soc. 136 (2008), no. 6, 2055–2065.(Reviewer: Sławomir M. Rybicki) 37J45 (34C23 34C37 58E07)

[80] MR2383268 Reviewed Leclercq, Rémi Spectral invariants in Lagrangian Floertheory. J. Mod. Dyn. 2 (2008), no. 2, 249–286. 57R17 (53D40 55T10)

[81] MR2383373 Reviewed Portaluri, Alessandro Maslov index for Hamiltoniansystems. Electron. J. Differential Equations 2008, No. 09, 10 pp. (Reviewer:Yiming Long) 53D12 (37J05)

[82] MR2386535 Reviewed Auroux, Denis Mirror symmetry and -duality in thecomplement of an anticanonical divisor. J. Gökova Geom. Topol. GGT 1 (2007),51–91. (Reviewer: Richard P. Thomas) 53D40 (14J32 14J45 53C38)

[83] MR2396215 Reviewed Rivas, Alejandro M. F. Semiclassical scar functions in

R2

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phase space. J. Phys. A 40 (2007), no. 36, 11057–11072. (Reviewer: MartinHorvat) 81Q50 (81S30)

[84] MR2376640 Reviewed Chardard, Frédéric Maslov index for solitary wavesobtained as a limit of the Maslov index for periodic waves. C. R. Math. Acad. Sci.Paris 345 (2007), no. 12, 689–694. (Reviewer: Yiming Long) 53D12 (35Q5137K40)

[85] MR2372458 Reviewed Simon, Gabi Ben The nonlinear Maslov index and theCalabi homomorphism. Commun. Contemp. Math. 9 (2007), no. 6, 769–780.(Reviewer: Martin Pinsonnault) 53D12 (53D35)

[86] MR2366118 Reviewed Schulz-Baldes, Hermann Rotation numbers for Jacobimatrices with matrix entries. Math. Phys. Electron. J. 13 (2007), Paper 5, 40 pp.(electronic). (Reviewer: Albert Jeu-Liang Sheu) 81Q10 (15A57 47B36 47B80)

[87] MR2358895 Reviewed Clelland, Jeanne N.; Kossowski, Marek; Wilkens,George R. Constructing topologically distinct energy-critical curves in the pathspace of the Euclidean line. J. Differential Equations 241 (2007), no. 2, 305–331.(Reviewer: Paolo Piccione) 58E10

[88] MR2344015 Reviewed Wahl, Charlotte Noncommutative Maslov index andeta-forms. Mem. Amer. Math. Soc. 189 (2007), no. 887, vi+118 pp. (Reviewer:Thomas Schick) 58J42 (46L80 46L87 53D12 58J20 58J28)

[89] MR2324804 Reviewed Groh, K.; Schwarz, M.; Smoczyk, K.; Zehmisch, K.Mean curvature flow of monotone Lagrangian submanifolds. Math. Z. 257 (2007),no. 2, 295–327. (Reviewer: Henri Anciaux) 53C44 (53D12)

[90] MR2334994 Reviewed Chen, Chao-Nien; Hu, Xijun Maslov index forhomoclinic orbits of Hamiltonian systems. Ann. Inst. H. Poincaré Anal. Non Linéaire24 (2007), no. 4, 589–603. (Reviewer: Addolorata Salvatore) 37J45 (34C37 37C2953D12)

[91] MR2333742 Reviewed Wahl, Charlotte On the noncommutative spectralflow. J. Ramanujan Math. Soc. 22 (2007), no. 2, 135–187. (Reviewer: ÉricLeichtnam) 58J30 (19K56 46L08)

[92] MR2325932 Reviewed Tyurin, N. A. The universal Maslov class of aBohr-Sommerfeld Lagrangian embedding into a pseudo-Einsteinian manifold.(Russian) Teoret. Mat. Fiz. 150 (2007), no. 2, 325--337; translation in Theoret.and Math. Phys. 150 (2007), no. 2, 278–287 (Reviewer: Zaza Tevdoradze) 53D12(32Q20 53C25)

[93] MR2320167 Reviewed Leung, Naichung Conan; Wan, Tom Y. H. Hyper-Lagrangian submanifolds of hyperkähler manifolds and mean curvature flow. J.Geom. Anal. 17 (2007), no. 2, 343–364. (Reviewer: Simon G. Chiossi) 53C26(53C38 53C44 53D12)

[94] MR2299559 Reviewed Neves, André Singularities of Lagrangian meancurvature flow: zero-Maslov class case. Invent. Math. 168 (2007), no. 3, 449–484.(Reviewer: Henri Anciaux) 53C44 (53D12)

[95] MR2301251 Reviewed Clerc, Jean-Louis An invariant for triples in the Shilov


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boundary of a bounded symmetric domain. Comm. Anal. Geom. 15 (2007), no. 1,147–173. (Reviewer: Jacques Faraut) 32M15 (53D12)

[96] MR2275202 Reviewed Viña, Andrés Hamiltonian diffeomorphisms of toricmanifolds and flag manifolds. J. Geom. Phys. 57 (2007), no. 3, 943–965.(Reviewer: Miguel T. Abreu) 53D35 (53D12 57S05)

[97] MR2262778 Reviewed Clerc, Jean-Louis; Koufany, Khalid Primitive ducocycle de Maslov généralisé. (French) [Primitive of the generalized Maslovcocycle] Math. Ann. 337 (2007), no. 1, 91–138. (Reviewer: Jacques Faraut)53D12 (32M15 37J05)

[98] MR2262736 Reviewed Eidam, J. C. C.; Piccione, P. A generalization ofYoshida-Nicolaescu theorem using partial signatures. Math. Z. 255 (2007), no. 2,357–372. (Reviewer: Kenro Furutani) 58J30 (53D12)

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Maslov index of Lagrangian submanifolds of generalized Calabi-Yau manifolds.Internat. J. Math. 17 (2006), no. 8, 921–947. (Reviewer: Gil R. Cavalcanti) 53C38(53D12 53D35)

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in Partial Differential Equations (Basel). Birkhäuser Verlag, Basel, 2006. xx+367pp. ISBN: 978-3-7643-7574-4; 3-7643-7574-4 (Reviewer: Brian C. Hall) 81S10(53D05 53D12 81Q20)

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spectral flow formula for fixed maximal domain. Cent. Eur. J. Math. 3 (2005), no.3, 558–577 (electronic). (Reviewer: Paul A. Kirk) 58J30 (53D12)

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[292] MR1450574 Reviewed Hruška, Marina; Keung, Wai-Yee; Sukhatme, UdayAccuracy of semiclassical methods for shape-invariant potentials. Phys. Rev. A (3)55 (1997), no. 5, 3345–3350. 81Q20

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[293] MR1449637 Reviewed de Gosson, Maurice Maslov classes, metaplecticrepresentation and Lagrangian quantization. Mathematical Research, 95.Akademie-Verlag, Berlin, 1997. 186 pp. ISBN: 3-05-501714-5 (Reviewer: Charles-Michel Marle) 58F06 (81S10)

[294] MR1444084 Reviewed Dozias, Sandrine Clustering for the spectrum of-pseudodifferential operators with periodic flow on an energy surface. J. Funct.

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[295] MR1439595 Reviewed Tevdoradze, Z. The Hörmander and Maslov classesand Fomenko's conjecture. Georgian Math. J. 4 (1997), no. 2, 185–200.(Reviewer: Serge L. Tabachnikov) 53C42 (53C15 57R20 58F05)

[296] MR1437190 Reviewed Chang, K. C.; Liu, J. Q.; Liu, M. J. Nontrivial periodicsolutions for strong resonance Hamiltonian systems. Ann. Inst. H. Poincaré Anal.Non Linéaire 14 (1997), no. 1, 103–117. (Reviewer: Andrzej Szulkin) 58F22(34C25 58E05 58F05 70H05)

[297] MR1434917 Reviewed Bartsch, Thomas; Wang, Zhi-Qiang Periodicsolutions of spatially periodic, even Hamiltonian systems. J. Differential Equations135 (1997), no. 1, 103–128. (Reviewer: Andrzej Szulkin) 58F22 (34C25 58E0558F05 70H05)

[298] MR1427704 Reviewed Bartsch, Thomas; Wang, Zhi-Qiang Periodicsolutions of even Hamiltonian systems on the torus. Math. Z. 224 (1997), no. 1,65–76. (Reviewer: Maria Letizia Bertotti) 58F22 (34C25 58E05 58F05)

[299] MR1388897 Reviewed Nicolaescu, Liviu I. Generalized symplecticgeometries and the index of families of elliptic problems. Mem. Amer. Math. Soc.128 (1997), no. 609, xii+80 pp. (Reviewer: Peter Haskell) 58G12 (19K56 55N1555P10 58F05 58G20)

[300] MR1457304 Reviewed Emmrich, C.; Römer, H. Multicomponent WKB andquantization. New ideas in the theory of fundamental interactions (Zakopane,1995). Acta Phys. Polon. B 27 (1996), no. 10, 2393–2402. (Reviewer: GabrielAlvarez) 81S10 (81Q20)

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[302] MR1423216 Reviewed Borrelli, Vincent Classe de Maslov des sous-variétéstotalement réelles. (French) [Maslov class of totally real submanifolds] C. R. Acad.Sci. Paris Sér. I Math. 323 (1996), no. 9, 1035–1038. (Reviewer: J. S. Joel) 53C42(32F25 58D10)

[303] MR1404474 Reviewed Friedrich, H.; Trost, J. Nonintegral Maslov indices.Phys. Rev. A (3) 54 (1996), no. 2, 1136–1145. 81Q20

[304] MR1402169 Reviewed Fei, Guihua; Qiu, Qingjiu Minimal period solutions ofnonlinear Hamiltonian systems. Nonlinear Anal. 27 (1996), no. 7, 821–839.(Reviewer: James F. Reineck) 58F22 (34C25 58E05 58F05 70H05)

[305] MR1400206 Reviewed Oh, Yong-Geun Fredholm theory of holomorphicdiscs under the perturbation of boundary conditions. Math. Z. 222 (1996), no. 3,505–520. (Reviewer: Jean-Claude Sikorav) 58D10 (32F25 58B15 58F05)

[306] MR1400061 Reviewed Arnal, Didier; Fujiwara, Hidenori; Ludwig, JeanOpérateurs d'entrelacement pour les groupes de Lie exponentiels. (French)[Intertwining operators for exponential Lie groups] Amer. J. Math. 118 (1996), no.4, 839–878. (Reviewer: Chal Benson) 22E25

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[308] MR1392686 Reviewed Ramazanov, M. A. Canonical coordinates on orbitsof the coadjoint representation of tensor extensions of special nilpotent Lie groupsof dimension nine. (Russian) Uspekhi Mat. Nauk 51 (1996), no. 1(307), 163--164;translation in Russian Math. Surveys 51 (1996), no. 1, 160–161 (Reviewer: J. S.Joel) 58F06 (22E27)

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[310] MR1383837 Reviewed Alber, Mark S.; Marsden, Jerrold E. Semiclassicalmonodromy and the spherical pendulum as a complex Hamiltonian system.Conservative systems and quantum chaos (Waterloo, ON, 1992), 1–18, Fields


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[312] MR1607515 Reviewed Niglio, Louis Classes isotropes et classes de Maslov.(French) [Isotropy classes and Maslov classes] Ann. Fac. Sci. Toulouse Math. (6) 4(1995), no. 3, 633–654. (Reviewer: Liviu I. Nicolaescu) 58F05 (57R20)

[313] MR1430317 Reviewed Uezu, T.; Kubo, H. Study of dynamical systemsfrom topological viewpoint. Dynamical systems and chaos, Vol. 2 (Hachioji, 1994),253–257, World Sci. Publ., River Edge, NJ, 1995. (Reviewer: J. S. Joel) 58F14

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[315] MR1369400 Reviewed Nicolaescu, Liviu I. The Maslov index, the spectralflow, and decompositions of manifolds. Duke Math. J. 80 (1995), no. 2, 485–533.(Reviewer: Paul A. Kirk) 58G10 (57R57 58F05 58G25)

[316] MR1366176 Reviewed Cardin, Franco; Spera, Mauro On the internal workin generalized hyperelastic materials. Meccanica 30 (1995), no. 6, 727–734.(Reviewer: Victor E. Shatalov) 73B99 (73G05)

[317] MR1362841 Reviewed Oh, Y.-G. Floer cohomology of Lagrangianintersections and pseudo-holomorphic disks. III. Arnolʹd-Givental conjecture. TheFloer memorial volume, 555–573, Progr. Math., 133, Birkhäuser, Basel, 1995.(Reviewer: Karl Friedrich Siburg) 58E05 (57R99 58F05)

[318] MR1353094 Reviewed Gurarie, David Quantized Neumann problem,separable potentials on and the Lamé equation. J. Math. Phys. 36 (1995), no.10, 5355–5391. (Reviewer: Eugen Belokolos) 81Q10 (34L40 58G25 81Q20)

[319] MR1350321 Reviewed Scherer, W. Identical Maslov indices from differentsymplectic structures. Hamiltonian dynamical systems (Cincinnati, OH, 1992),319–327, IMA Vol. Math. Appl., 63, Springer, New York, 1995. (Reviewer: RaúlIbáñez) 58F05 (70H05 81S10)

[320] MR1350300 Reviewed Hamiltonian dynamical systems. History, theory,and applications. Papers from the International Conference held at the University ofCincinnati, Cincinnati, Ohio, March 1992. Edited by H. S. Dumas, K. R. Meyer andD. S. Schmidt. The IMA Volumes in Mathematics and its Applications, 63. Springer-Verlag, New York, 1995. xx+385 pp. ISBN: 0-387-94437-0 58-06 (70-06 70H05)

[321] MR1348538 Reviewed Fei, Gui Hua Maslov-type index and periodic solutionof asymptotically linear Hamiltonian systems which are resonant at infinity. J.Differential Equations 121 (1995), no. 1, 121–133. (Reviewer: Maria LetiziaBertotti) 58F22 (34C25 58E05 58F05 70H05)

[322] MR1345070 Reviewed Oh, Yong-Geun Riemann-Hilbert problem andapplication to the perturbation theory of analytic discs. Kyungpook Math. J. 35

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[324] MR1338359 Reviewed Chen, Bang-Yen; Morvan, Jean-Marie A cohomologyclass for totally real surfaces in . Japan. J. Math. (N.S.) 21 (1995), no. 1,189–205. (Reviewer: Wilhelm Klingenberg) 53C40 (53C56)

[325] MR1336438 Reviewed Bose, Amitabha; Jones, Christopher K. R. T.Stability of the in-phase travelling wave solution in a pair of coupled nerve fibers.Indiana Univ. Math. J. 44 (1995), no. 1, 189–220. (Reviewer: Qi Xiao Ye) 92C20(35Q80 58F40)

[326] MR1331973 Reviewed Bunke, Ulrich On the gluing problem for the-invariant. J. Differential Geom. 41 (1995), no. 2, 397–448. (Reviewer: Paul A.

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[327] MR1331677 Reviewed Robbin, Joel; Salamon, Dietmar The spectral flowand the Maslov index. Bull. London Math. Soc. 27 (1995), no. 1, 1–33. (Reviewer:James F. Reineck) 58E05 (47A53 47N99 57R57 58G10)

[328] MR1331356 Reviewed Arnolʹd, V. I. The geometry of spherical curves andquaternion algebra. (Russian) Uspekhi Mat. Nauk 50 (1995), no. 1(301), 3--68;translation in Russian Math. Surveys 50 (1995), no. 1, 1–68 (Reviewer: V. M.Zakalyukin) 57M99 (53A04 58C27)

[329] MR1328545 Reviewed Finkelberg, M. V. The orthogonal Maslov index.(Russian) Funktsional. Anal. i Prilozhen. 29 (1995), no. 1, 92--95; translation inFunct. Anal. Appl. 29 (1995), no. 1, 72–74 (Reviewer: J. S. Joel) 57R20 (57R67)

[330] MR1320383 Reviewed Nicolaescu, Liviu I. The index of families of boundaryvalue problems for Dirac operators. C. R. Acad. Sci. Paris Sér. I Math. 320 (1995),no. 3, 347–352. (Reviewer: Peter Haskell) 58G12 (19K56 58G20)

[331] MR1282897 Reviewed Suzuki, Haruo Residue classes of Lagrangiansubbundles and Maslov classes. Trans. Amer. Math. Soc. 347 (1995), no. 1,189–202. (Reviewer: Takashi Tsuboi) 57R20 (58F05)

[332] MR2691859 Thesis Nicolaesou, Liviu I.; The spectral flow, the Maslov indexand decompositions of manifolds. Thesis (Ph.D.)–Michigan State University. 1994.94 pp, ProQuest LLC

[333] MR1428678 Reviewed Trofimov, V. V. Generalized Maslov classes on thepath space of a symplectic manifold. (Russian) Trudy Mat. Inst. Steklov. 205(1994), Novye Rezult. v Teor. Topol. Klassif. Integr. Sistem, 172--199; translationin Proc. Steklov Inst. Math. 1995, no. 4 (205), 157–179 (Reviewer: J. S. Joel)58F05 (57R20)

[334] MR1341856 Reviewed Viterbo, Claude Properties of embedded Lagrangemanifolds. First European Congress of Mathematics, Vol. II (Paris, 1992),463–474, Progr. Math., 120, Birkhäuser, Basel, 1994. (Reviewer: HansjörgGeiges) 58F05 (53C15)

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[335] MR1330599 Reviewed Kruzhilin, N. G. Holomorphic disks with boundarieson totally real tori in . (Russian) Mat. Zametki 56 (1994), no. 6, 48--55, 158;translation in Math. Notes 56 (1994), no. 5-6, 1244–1248 (1995) (Reviewer: J. S.Joel) 32F25 (53C15)

[336] MR1307148 Reviewed Trofimov, V. V. Canonical coordinates on orbits ofthe coadjoint representation of tensor extensions of Lie groups. (Russian) UspekhiMat. Nauk 49 (1994), no. 1(295), 229--230; translation in Russian Math. Surveys49 (1994), no. 1, 251–253 (Reviewer: J. S. Joel) 58F06 (22E45 58F05)

[337] MR1296462 Reviewed Aebischer, B.; Borer, M.; Kälin, M.; Leuenberger,Ch.; Reimann, H. M. Symplectic geometry. An introduction based on the seminar inBern, 1992. Progress in Mathematics, 124. Birkhäuser Verlag, Basel, 1994. xii+239pp. ISBN: 3-7643-5064-4 (Reviewer: Hansjörg Geiges) 58F05 (53C15 58E05)

[338] MR1290569 Reviewed Helfer, Adam D. Conjugate points and higherArnolʹd-Maslov classes. Differential geometry and mathematical physics(Vancouver, BC, 1993), 135–147, Contemp. Math., 170, Amer. Math. Soc.,Providence, RI, 1994. (Reviewer: Takashi Tsuboi) 58E05 (57R15 58E10 58F05)

[339] MR1290560 Reviewed Differential geometry and mathematical physics.Proceedings of the AMS-CMS Special Session on Geometric Methods inMathematical Physics held in Vancouver, British Columbia, August 15–19, 1993.Edited by John K. Beem and Krishan L. Duggal. Contemporary Mathematics, 170.American Mathematical Society, Providence, RI, 1994. viii+224 pp. ISBN:0-8218-5172-1 53-06 (83-06)

[340] MR1289830 Reviewed Kumar, Shrawan; Narasimhan, M. S.; Ramanathan,A. Infinite Grassmannians and moduli spaces of -bundles. Math. Ann. 300(1994), no. 1, 41–75. (Reviewer: Emma Previato) 14D20 (14H60 14K25 17B6722E67 81T40)

[341] MR1286249 Reviewed Arnolʹd, V. I. Topological invariants of plane curvesand caustics. Dean Jacqueline B. Lewis Memorial Lectures presented at RutgersUniversity, New Brunswick, New Jersey. University Lecture Series, 5. AmericanMathematical Society, Providence, RI, 1994. viii+60 pp. ISBN: 0-8218-0308-5(Reviewer: Louis Funar) 57M25 (53A04 57-02 57R42 58C28)

[342] MR1284713 Reviewed Dittrich, W.; Reuter, M. Classical and quantumdynamics: from classical paths to path integrals. Second edition. Springer-Verlag,Berlin, 1994. viii+361 pp. ISBN: 3-540-56245-1 81-01 (70Gxx 70Hxx 81S40)

[343] MR1273927 Reviewed Morvan, Jean-Marie; Niglio, Louis Isotropiccharacteristic classes. Compositio Math. 91 (1994), no. 1, 67–89. (Reviewer:Wiesław J. Olędzki) 57R20 (53C15 58F05 58H15)

[344] MR1272654 Reviewed Helfer, Adam D. Conjugate points on spacelikegeodesics or pseudo-selfadjoint Morse-Sturm-Liouville systems. Pacific J. Math.164 (1994), no. 2, 321–350. (Reviewer: Charles-Michel Marle) 58E05 (34B2458E10)

[345] MR1264125 Reviewed Yoshida, Tomoyoshi Spectral flow and the Maslovindex. (Japanese) Sūgaku 46 (1994), no. 1, 11–22. (Reviewer: Hiroshi Takai)

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[347] MR1260596 Reviewed de Gosson, Maurice A. On the Leray-Maslovquantization of Lagrangian submanifolds. J. Geom. Phys. 13 (1994), no. 2,158–168. (Reviewer: J. S. Joel) 58F06 (58F05)

[348] MR1259449 Reviewed Chen, Bang-Yen; Morvan, Jean-Marie Deformationsof isotropic submanifolds in Kähler manifolds. J. Geom. Phys. 13 (1994), no. 1,79–104. (Reviewer: J. S. Joel) 53C40 (53C55 58E20 58F05)

[349] MR1259406 Reviewed Zelenov, E. I. On geometrical interpretation of the-adic Maslov index. Comm. Math. Phys. 159 (1994), no. 3, 539–547. (Reviewer:

Boris Datskovsky) 22E35 (11S85 58F05)

[350] MR1376967 Reviewed Szeredi, T.; Goodings, D. A. Classical and quantumchaos of the wedge billiard. I. Classical mechanics. Phys. Rev. E (3) 48 (1993), no.5, 3518–3528. 58F20 (58F13 58F19 81Q50)

[351] MR1339973 Reviewed Morvan, Jean-Marie Maslov, Duistermaat, Conley-Zehnder invariants in Riemannian geometry. Geometry and topology ofsubmanifolds, V (Leuven/Brussels, 1992), 174–200, World Sci. Publ., River Edge,NJ, 1993. (Reviewer: Charles-Michel Marle) 58F05 (53C15 58E10)

[352] MR1297137 Reviewed Polterovich, Leonid The Maslov class rigidity andnonexistence of Lagrangian embeddings. Symplectic geometry, 197–201, LondonMath. Soc. Lecture Note Ser., 192, Cambridge Univ. Press, Cambridge, 1993.(Reviewer: V. M. Zakalyukin) 57R40 (58F05)

[353] MR1297126 Reviewed Symplectic geometry. Edited by Dietmar Salamon.London Mathematical Society Lecture Note Series, 192. Cambridge UniversityPress, Cambridge, 1993. iv+236 pp. ISBN: 0-521-44699-6 58-06 (58F05)

[354] MR1296508 Indexed Ishikawa, Goo Maslov classes of Lagrange varietiesand Legendre varieties. Microlocal geometry (Kyoto, 1992). SūrikaisekikenkyūshoKōkyūroku No. 845 (1993), 53–63. 58F05 (57R20)

[355] MR1296502 Reviewed Microlocal geometry. Proceedings of a symposiumheld at the Research Institute for Mathematical Sciences, Kyoto University, Kyoto,August 24–28, 1992. Sūrikaisekikenkyūsho Kōkyūroku No. 845 (1993). KyotoUniversity, Research Institute for Mathematical Sciences, Kyoto, 1993. pp. i–ii and1–148. 58-06 (00B15 35-06)

[356] MR1274939 Reviewed Ishikawa, Goo Maslov class of an isotropicmap-germ arising from one-dimensional symplectic reduction. Progress indifferential geometry, 53–68, Adv. Stud. Pure Math., 22, Math. Soc. Japan, Tokyo,1993. (Reviewer: J. S. Joel) 58C27 (57R95 58F05)

[357] MR1274935 Reviewed Progress in differential geometry. Edited by K.Shiohama. Advanced Studies in Pure Mathematics, 22. Published for theMathematical Society of Japan, Tokyo; by Kinokuniya Company Ltd., Tokyo, 1993.

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[358] MR1266853 Reviewed Booss-Bavnbek, B.; Wojciechowski, K. P. Diracoperators and manifolds with boundary. Clifford algebras and their applications inmathematical physics (Deinze, 1993), 55–66, Fund. Theories Phys., 55, KluwerAcad. Publ., Dordrecht, 1993. (Reviewer: John Roe) 58G20 (58G03 58G25 81Q10)

[359] MR1259040 Reviewed Netsvetaev, N. Yu. On an analogue of the Maslovindex. (Russian) Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov.(POMI) 208 (1993), Issled. po Topol. 7, 133--135, 221; translation in J. Math.Sci. 81 (1996), no. 2, 2535–2537 (Reviewer: J. S. Joel) 58F05 (53C40 57R1558F06)

[360] MR1251855 Reviewed Kossowski, Marek Homotopy invariants for solutionsto symplectic Monge-Ampère equations. J. Differential Equations 106 (1993), no.2, 294–311. (Reviewer: Gerard Thompson) 58E05 (53C21 58A15)

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[362] MR1239642 Reviewed Fermüller, C.; Leitsch, A.; Tammet, T.; Zamov, N.Resolution methods for the decision problem. Lecture Notes in Computer Science,679. Lecture Notes in Artificial Intelligence. Springer-Verlag, Berlin, 1993. viii+205pp. ISBN: 3-540-56732-1 (Reviewer: Sergey G. Vorobyov) 03B25 (03B35 03D3568Q55 68T15)

[363] MR1239173 Reviewed Lazutkin, Vladimir F. KAM theory and semiclassicalapproximations to eigenfunctions. With an addendum by A. I. Shnirelʹman.Ergebnisse der Mathematik und ihrer Grenzgebiete (3) [Results in Mathematics andRelated Areas (3)], 24. Springer-Verlag, Berlin, 1993. x+387 pp. ISBN:3-540-53389-3 (Reviewer: Helmut Rüssmann) 58Fxx (35J05 35P05 58F19 58F2770H05 81Q20)

[364] MR1239040 Reviewed Nicolaescu, Liviu I. The Maslov index, the spectralflow and splittings of manifolds. C. R. Acad. Sci. Paris Sér. I Math. 317 (1993), no.5, 515–519. 58G20 (58E05)

[365] MR1237456 Reviewed Kossowski, Marek The Lagrangian Gauss image of acompact surface in Minkowski -space. Ann. Global Anal. Geom. 11 (1993), no. 3,237–251. 53C50 (53C40)

[366] MR1231639 Reviewed Zelenov, E. I. -adic Heisenberg group and Maslovindex. Comm. Math. Phys. 155 (1993), no. 3, 489–502. 22E35 (58F05)

[367] MR1225750 Reviewed Khandekar, D. C.; Wiegel, F. W. Stochastic areadistributions: optimal trajectories, Maslov indices and asymptotic results. Phys.Lett. A 177 (1993), no. 4-5, 300–304. 81S40 (58D30 82D60)

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[369] MR1222975 Reviewed Niglio, Louis Classes isotropes et classes de Maslov.

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[370] MR1124152 Reviewed Suzuki, Haruo Chern-Simons-Maslov classes ofsome symplectic vector bundles. Proc. Amer. Math. Soc. 117 (1993), no. 2,541–546. (Reviewer: Louis Funar) 57R20 (58F05)

[371] MR1087056 Reviewed Kossowski, Marek The Lagrangian Gauss image of asurface in Euclidean -space. Trans. Amer. Math. Soc. 335 (1993), no. 2,791–803. (Reviewer: I. G. Nikolaev) 53C42 (57R20 57R42)

[372] MR1226013 Reviewed Belov, V. V.; Dobrokhotov, S. Yu. SemiclassicalMaslov asymptotics with complex phases. I. General approach. (Russian) Teoret.Mat. Fiz. 92 (1992), no. 2, 215--254; translation in Theoret. and Math. Phys. 92(1992), no. 2, 843–868 (1993) (Reviewer: J. S. Joel) 58G18 (35S05 58F05 58G1581Q20)

[373] MR1225118 Reviewed Cappell, Sylvain E.; Lee, Ronnie; Miller, Edward Y.Spectral flows of manifolds after cutting and pasting. Proceedings of the XXthInternational Conference on Differential Geometric Methods in Theoretical Physics,Vol. 1, 2 (New York, 1991), 275–285, World Sci. Publ., River Edge, NJ, 1992.(Reviewer: Dave Auckly) 57R57 (58G25)

[374] MR1223271 Reviewed Tanabé, Susumu Lagrangian variety and thecondition for the presence of sharp front of the fundamental solution to Cauchyproblem. Sci. Papers College Arts Sci. Univ. Tokyo 42 (1992), no. 2, 149–159.(Reviewer: Vesselin M. Petkov) 35A08 (35S30)

[375] MR1218454 Reviewed Karasev, Michael; Vorobjev, Yuriy On an analogue ofthe Maslov class in the non-Lagrangian case. Problems in geometry, topology andmathematical physics (Russian), 37–48, 74, Novoe Global. Anal., 12, Voronezh.Gos. Univ., Voronezh, 1992. (Reviewer: J. S. Joel) 58F05 (32L05 55R20)

[376] MR1218451 Reviewed \cyr Zadachi geometrii, topologii i matematicheskoĭfiziki. [Problems in geometry, topology and mathematical physics] Edited by Yu. G.Borisovich. \cyr Novoe v Globalʹnom Analize [New Results in Global Analysis], 12.Voronezhskiĭ Gosudarstvennyĭ Universitet, Voronezh, 1992. 77 pp. ISBN:5-7455-0565-6 00B15 (58-06)

[377] MR1211692 Reviewed Vaisman, I. Secondary characteristic classes: asurvey. Differential geometry and its applications (Eger, 1989), 671–689, Colloq.Math. Soc. János Bolyai, 56, North-Holland, Amsterdam, 1992. (Reviewer: StevenE. Hurder) 57R32 (53C12 58A17)

[378] MR1210191 Reviewed Cui, Zhi Yong; Wu, Kai Leray formula and Kashiwaraindex. Northeast. Math. J. 8 (1992), no. 4, 379–381. 58F05 (58G15)

[379] MR1208901 Reviewed Trofimov, V. V. Loop space and generalized Maslovclasses of Lagrangian submanifolds. (Russian) Uspekhi Mat. Nauk 47 (1992), no.4(286), 213--214; translation in Russian Math. Surveys 47 (1992), no. 4,234–235 (Reviewer: J. S. Joel) 58F05 (57R20)

[380] MR1191584 Reviewed de Gosson, M. The structure of -symplecticgeometry. J. Math. Pures Appl. (9) 71 (1992), no. 5, 429–453. (Reviewer: J. S.

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[381] MR1190985 Reviewed Forstnerič, Franc Intersections of analytic andsmooth discs. The Madison Symposium on Complex Analysis (Madison, WI,1991), 235–244, Contemp. Math., 137, Amer. Math. Soc., Providence, RI, 1992.(Reviewer: Marek Jarnicki) 32F15

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[383] MR1185851 Reviewed Scherer, W. Bi-Hamiltonian systems and Maslovindices. J. Math. Phys. 33 (1992), no. 11, 3746–3756. (Reviewer: Frans Cantrijn)58F05

[384] MR1184484 Reviewed Lauritzen, Bent Semiclassical Poincaré map forintegrable systems. Chaos 2 (1992), no. 3, 409–412. (Reviewer: Viviane Baladi)58F20 (81Q50)

[385] MR1184422 Reviewed Turaev, V. G. Quantum representations of modulargroups and Maslov indices. Topology '90 (Columbus, OH, 1990), 381–390, OhioState Univ. Math. Res. Inst. Publ., 1, de Gruyter, Berlin, 1992. (Reviewer:Shigeyuki Morita) 57M99 (20H10 58F05)

[386] MR1184397 Reviewed Topology '90. Papers from the Research Semester inLow-dimensional Topology held at Ohio State University, Columbus, Ohio,February–June 1990. Edited by Boris Apanasov, Walter D. Neumann, Alan W. Reidand Laurent Siebenmann. Ohio State University Mathematical Research InstitutePublications, 1. Walter de Gruyter & Co., Berlin, 1992. xii+457 pp. ISBN:3-11-012598-6 57-06 (11-06 14-06 20-06 30-06 57Mxx 81T40)

[387] MR1181727 Reviewed Salamon, Dietmar; Zehnder, Eduard Morse theoryfor periodic solutions of Hamiltonian systems and the Maslov index. Comm. PureAppl. Math. 45 (1992), no. 10, 1303–1360. (Reviewer: Yong-Geun Oh) 58E05(34C25 58F22 70H05)

[388] MR1171138 Reviewed de Gosson, Maurice A. Cocycles de Demazure-Kashiwara et géométrie métaplectique. (French) [Demazure-Kashiwara cocyclesand metaplectic geometry] J. Geom. Phys. 9 (1992), no. 3, 255–280. (Reviewer:Charles-Michel Marle) 58F05 (81Q20)

[389] MR1170929 Reviewed Mao, J.-M.; Shaw, J.; Delos, J. B. Closed orbits andsemiclassical wavefunctions in two-dimensional Hamiltonian systems. J. Statist.Phys. 68 (1992), no. 1-2, 51–96. (Reviewer: Peter N. Zhevandrov) 81Q20

[390] MR1170928 Reviewed Littlejohn, Robert G. The Van Vleck formula, Maslovtheory, and phase space geometry. J. Statist. Phys. 68 (1992), no. 1-2, 7–50.(Reviewer: Alexander D. Popov) 81Q05 (81Q20 81S10 81S30)

[391] MR1168328 Reviewed Chen, Bang-Yen; Morvan, Jean-Marie Cohomologiedes sous-variétés -obliques. (French) [Cohomology of -slant submanifolds] C.R. Acad. Sci. Paris Sér. I Math. 314 (1992), no. 12, 931–934. (Reviewer: ChuanYu Ma) 53C15 (53C55)

[392] MR1165870 Reviewed Ranga Rao, R. The Maslov index on the simply

α α


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connected covering group and the metaplectic representation. J. Funct. Anal. 107(1992), no. 1, 211–233. (Reviewer: P. L. Robinson) 22E45 (58F06)

[393] MR1163540 Reviewed Takatsuka, Kazuo Dynamics and quantization ofHamiltonian chaos: density of states in phase-space semiclassical mechanics.Phys. Rev. A (3) 45 (1992), no. 7, part A, 4326–4339. 81Q50 (58F13)

[394] MR1160176 Reviewed Alber, Mark S. Complex geometric asymptotics,geometric phases and nonlinear integrable problems. Huygens' principle1690–1990: theory and applications (The Hague and Scheveningen, 1990),415–427, Stud. Math. Phys., 3, North-Holland, Amsterdam, 1992. (Reviewer: M.S. Agranovich) 58F19 (35A30 58G18 58Z05 81Q20)

[395] MR1159829 Reviewed Bialy, M.; Polterovich, L. Hamiltoniandiffeomorphisms and Lagrangian distributions. Geom. Funct. Anal. 2 (1992), no. 2,173–210. (Reviewer: Nikolai K. Smolentsev) 58F05 (53C23 57R50)

[396] MR1158544 Reviewed Robbins, Jonathan Winding number formula forMaslov indices. Chaos 2 (1992), no. 1, 145–147. (Reviewer: Agusti Reventós)58F05 (58F06 81Q20 81Q50 81S10)

[397] MR1157317 Reviewed Bialy, Misha; Polterovich, Leonid Hamiltoniansystems, Lagrangian tori and Birkhoff's theorem. Math. Ann. 292 (1992), no. 4,619–627. (Reviewer: Jaroslav Stark) 58F05 (58F27)

[398] MR1646819 Indexed Tevdoradze, Z. A. Computation of the Maslov classfor the Lagrange and the Kovalevskaya problems of the motion of a rigid bodyabout a fixed point. (Russian) Soobshch. Akad. Nauk Gruzii 141 (1991), no. 1,45–48. 70E15 (58F05 70H05)

[399] MR1275841 Reviewed \cyr Algebra, geometriya i diskretnaya matematika vnelineĭnykh zadachakh. (Russian) [Algebra, geometry and discrete mathematics innonlinear problems] Edited by O. B. Lupanov, S. P. Novikov and A. I. Kostrikin.Moskov. Gos. Univ., Moscow, 1991. 208 pp. ISBN: 5-211-02338-2 00B15

[400] MR1274033 Reviewed Trofimov, V. V. Generalized Maslov indices andcobordisms. (Russian) Trudy Sem. Vektor. Tenzor. Anal. No. 24 (1991), 186–198.(Reviewer: J. S. Joel) 58F05 (57R30 57R90)

Mirror Sites



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ISSN 2167-5163

Matches: 575


[401] MR1167027 Reviewed Trofimov, V. V. Generalized Maslov classes ofLagrangian submanifolds. (Russian) Nonlinear operators in global analysis(Russian), 156–160, 165, Novoe Global. Anal., Voronezh. Gos. Univ., Voronezh,1991. 57R20 (58F05)

[402] MR1167012 Reviewed \cyr Nelineĭnye operatory v globalʹnom analize.(Russian) [Nonlinear operators in global analysis] Edited by Yu. E. Gliklikh. \cyrNovoe v Globalʹnom Analize. [New Results in Global Analysis] VoronezhskiĭGosudarstvennyĭ Universitet, Voronezh, 1991. 167 pp. ISBN: 5-7455-0500-158-06 (00B30)

[403] MR1156542 Reviewed Karasëv, M. V. Simple quantization formula.Symplectic geometry and mathematical physics (Aix-en-Provence, 1990),234–244, Progr. Math., 99, Birkhäuser Boston, Boston, MA, 1991. (Reviewer:Yihren Wu) 58F06 (81Q20 81S10)

[404] MR1146924 Reviewed Tammet, Tanel Using resolution for decidingsolvable classes and building finite models. Baltic computer science, 33–64,Lecture Notes in Comput. Sci., 502, Springer, Berlin, 1991. (Reviewer: SauroTulipani) 03B35 (03B25 03C13)

[405] MR1141226 Reviewed Trofimov, V. V. Symplectic connections and Maslov-Arnolʹd characteristic classes. Topological classification of integrable systems,257–265, Adv. Soviet Math., 6, Amer. Math. Soc., Providence, RI, 1991.(Reviewer: Tudor S. Raţiu) 57R20 (53C07 58F05)

[406] MR1138565 Reviewed Niglio, Louis Classes caractéristiques d'un couple desous-fibrés isotropes. (French) [Characteristic classes of a couple of isotropicsubbundles] C. R. Acad. Sci. Paris Sér. I Math. 313 (1991), no. 12, 859–863.57R20 (58F05)

[407] MR1133962 Reviewed Breuer, H.-P.; Holthaus, M. A semiclassical theory ofquasienergies and Floquet wave functions. Ann. Physics 211 (1991), no. 2,249–291. (Reviewer: H. Hogreve) 81Q20 (81V45)

[408] MR1127477 Reviewed Yoshida, Tomoyoshi Floer homology and splittings ofmanifolds. Ann. of Math. (2) 134 (1991), no. 2, 277–323. (Reviewer: Ronald J.Stern) 57R57 (53C07 57N10 58G10)

[409] MR1120120 Reviewed D'Agnolo, Andrea; Zampieri, Giuseppe Levi's formsof higher codimensional submanifolds. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat.Natur. Rend. Lincei (9) Mat. Appl. 2 (1991), no. 1, 29–33. (Reviewer: P. Schapira)32F25 (32C35 58G07)

[410] MR1116641 Reviewed Bialy, Misha On the number of caustics for invariant


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tori of Hamiltonian systems with two degrees of freedom. Ergodic Theory Dynam.Systems 11 (1991), no. 2, 273–278. (Reviewer: Mikhail B. Sevryuk) 58F05 (57R4070H05)

[411] MR1113185 Reviewed Trofimov, V. V. The holonomy group andgeneralized Maslov classes of submanifolds in spaces with affine connection.(Russian) Mat. Zametki 49 (1991), no. 2, 113--123, 160; translation in Math.Notes 49 (1991), no. 1-2, 193–200 (Reviewer: J. S. Joel) 57R20 (53C40 57R9058F05 58G18)

[412] MR1111744 Reviewed Trofimov, Valerii V. Connections on manifolds andnew characteristic classes. Acta Appl. Math. 22 (1991), no. 2-3, 283–312.(Reviewer: Jan Samsonowicz) 57R20 (53C05 58F05)

[413] MR1109663 Reviewed Polterovich, Leonid Monotone Lagrangesubmanifolds of linear spaces and the Maslov class in cotangent bundles. Math. Z.207 (1991), no. 2, 217–222. 58F05 (57R40)

[414] MR1108162 Reviewed Ôtsuki, Nobukazu; Furutani, Kenrō Spectral flow andMaslov index arising from Lagrangian intersections. Tokyo J. Math. 14 (1991), no.1, 135–150. (Reviewer: Louis Funar) 58F05 (58E05 58G10)

[415] MR1107010 Reviewed Robbins, Jonathan M. Maslov indices in theGutzwiller trace formula. Nonlinearity 4 (1991), no. 2, 343–363. 81Q20 (58G4058Z05)

[416] MR1104371 Reviewed Ninomiya, Syoiti The Fourier-Sato transformation ofpure sheaves. J. Fac. Sci. Univ. Tokyo Sect. IA Math. 38 (1991), no. 1, 185–207.(Reviewer: P. Schapira) 58G07

[417] MR1103040 Reviewed Duval, J. Une contrainte géométrique pour certainessous-variétés rationnellement convexes. (French) [A geometric constraint for somerationally convex subvarieties] Math. Ann. 289 (1991), no. 4, 627–629. (Reviewer:Rita Saerens) 32E99 (58F05)

[418] MR1097259 Reviewed Polterovich, L. The surgery of Lagrangesubmanifolds. Geom. Funct. Anal. 1 (1991), no. 2, 198–210. 57R65 (57R4258F05)

[419] MR1090163 Reviewed Lalonde, François; Sikorav, Jean-ClaudeSous-variétés lagrangiennes et lagrangiennes exactes des fibrés cotangents.(French) [Lagrangian and exact Lagrangian submanifolds of cotangent bundles]Comment. Math. Helv. 66 (1991), no. 1, 18–33. (Reviewer: Charles-Michel Marle)58F05 (53C15)

[420] MR1043418 Reviewed Polterovich, Leonid The second Birkhoff theorem foroptical Hamiltonian systems. Proc. Amer. Math. Soc. 113 (1991), no. 2, 513–516.(Reviewer: Jean-Claude Sikorav) 58F05 (53C22 58F17)

[421] MR0992608 Reviewed Polterovich, L. V. The Maslov class of the Lagrangesurfaces and Gromov's pseudo-holomorphic curves. Trans. Amer. Math. Soc. 325(1991), no. 1, 241–248. (Reviewer: I. Vaisman) 58F05 (58G30)

[422] MR1180524 Reviewed Chang, Kung-ching; Jiang, Mei Yue The Lagrange


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intersections for . Lecture notes in contemporary mathematics, 1989,1–9, Sci. Press Beijing, Beijing, 1990. (Reviewer: Yong-Geun Oh) 58F05 (58E05)

[423] MR1171907 Reviewed Giventalʹ, A. B. The nonlinear Maslov index.Geometry of low-dimensional manifolds, 2 (Durham, 1989), 35–43, London Math.Soc. Lecture Note Ser., 151, Cambridge Univ. Press, Cambridge, 1990. (Reviewer:Nikolai K. Smolentsev) 58F05 (57S05 58D10)

[424] MR1171904 Reviewed Geometry of low-dimensional manifolds. 2.Symplectic manifolds and Jones-Witten theory. Proceedings of the symposium heldin Durham, July 1989. Edited by S. K. Donaldson and C. B. Thomas. LondonMathematical Society Lecture Note Series, 151. Cambridge University Press,Cambridge, 1990. xiv+242 pp. ISBN: 0-521-40001-5 57-06

[425] MR1124230 Reviewed Long, Yi Ming; Zehnder, Eduard Morse-theory forforced oscillations of asymptotically linear Hamiltonian systems. Stochasticprocesses, physics and geometry (Ascona and Locarno, 1988), 528–563, WorldSci. Publ., Teaneck, NJ, 1990. (Reviewer: Vittorio Coti Zelati) 58E05 (34C25 58F0558F22 70H05)

[426] MR1120932 Reviewed Vaisman, Izu The Maslov class in a Riemannianphase space. J. Geom. Phys. 7 (1990), no. 3, 383–394. (Reviewer: James F.Glazebrook) 58F05 (53C40 57R20)

[427] MR1102633 Reviewed Kolokolʹtsov, V. N. The Maslov index in infinite-dimensional symplectic geometry. (Russian) Mat. Zametki 48 (1990), no. 6,142–145. (Reviewer: J. S. Joel) 58B05 (58B15 58B20 58F05 58G15)

[428] MR1102621 Reviewed Daletskiĭ, A. Yu. The Maslov canonical operator onLagrangian manifolds with a Hilbert model. (Russian) Mat. Zametki 48 (1990), no.6, 51--60; translation in Math. Notes 48 (1990), no. 5-6, 1206–1213 (1991)(Reviewer: J. S. Joel) 58G18 (35S30 58B15 58B20 58G15 81S30)

[429] MR1097966 Reviewed Yakubovich, V. A. A linear-quadratic problem ofoptimization and the frequency theorem for periodic systems. II. (Russian) Sibirsk.Mat. Zh. 31 (1990), no. 6, 176--191; translation in Siberian Math. J. 31 (1990),no. 6, 1027–1039 (1991) (Reviewer: A. Göpfert) 49N10 (34H05 49J15)

[430] MR1091832 Reviewed de Gosson, Maurice Maslov indices on themetaplectic group . Ann. Inst. Fourier (Grenoble) 40 (1990), no. 3,537–555. (Reviewer: P. L. Robinson) 22E46 (22D10 47N99 57R20 58F06)

[431] MR1090484 Reviewed Long, Yi Ming Maslov-type index, degenerate criticalpoints, and asymptotically linear Hamiltonian systems. Sci. China Ser. A 33 (1990),no. 12, 1409–1419. (Reviewer: Norman Dancer) 58F22 (34C25 58E05 58F0570H05)

[432] MR1089678 Reviewed Zakalyukin, V. M. Generating ideals of Lagrangianvarieties. Theory of singularities and its applications, 201–210, Adv. Soviet Math.,1, Amer. Math. Soc., Providence, RI, 1990. 58F05 (58C27)

[433] MR1089675 Reviewed Baryshnikov, Yu. M. Indices for extremalembeddings of -complexes. Theory of singularities and its applications, 137–144,Adv. Soviet Math., 1, Amer. Math. Soc., Providence, RI, 1990. (Reviewer: Richard

(C , R )Pn Pn

Mp(n)

1


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Montgomery) 58E30 (58E05)

[434] MR1089671 Reviewed Giventalʹ, A. B. Nonlinear generalization of theMaslov index. Theory of singularities and its applications, 71–103, Adv. SovietMath., 1, Amer. Math. Soc., Providence, RI, 1990. (Reviewer: Yong-Geun Oh)58F05

[435] MR1089667 Reviewed Theory of singularities and its applications. Edited byV. I. Arnolʹd. Translated from the Russian. Advances in Soviet Mathematics, 1.American Mathematical Society, Providence, RI, 1990. x+333 pp. ISBN:0-8218-4100-9 58-06 (00B15 32Sxx 58C27)

[436] MR1082029 Reviewed Nekovar, Ya. The Maslov index and Clifford algebras.(Russian) Funktsional. Anal. i Prilozhen. 24 (1990), no. 3, 36--44, 96; translationin Funct. Anal. Appl. 24 (1990), no. 3, 196–204 (1991) (Reviewer: Vladimir I.Chernousov) 11E88 (15A66 16E20 19C09)

[437] MR1077780 Reviewed Reuter, M. Maslov index in Chern-Simons quantummechanics. Phys. Rev. D (3) 42 (1990), no. 8, 2763–2778. (Reviewer: AkiraAsada) 58G40 (58G10 81Q20)

[438] MR1076478 Reviewed Viterbo, Claude Plongements lagrangiens etcapacités symplectiques de tores dans . (French) [The symplectic capacity ofLagrangian tori in ] C. R. Acad. Sci. Paris Sér. I Math. 311 (1990), no. 8,487–490. (Reviewer: Luis A. Ibort) 58F05 (53C15)

[439] MR1074410 Reviewed Ishikawa, Goo Maslov class of an isotropicmap-germ arising from one-dimensional symplectic reduction. Differential analysisand differential topological geometry (Kyoto, 1989). SūrikaisekikenkyūshoKōkyūroku No. 725 (1990), 15–46. (Reviewer: Stanisław Janeczko) 58F05(57R45)

[440] MR1074408 Reviewed Bibun kaiseki to bibun isō kika. [Differential analysisand differential topological geometry] Proceedings of a symposium held at theResearch Institute for Mathematical Sciences, Kyoto University, Kyoto, October30–November 2, 1989. Sūrikaisekikenkyūsho Kōkyūroku No. 725 (1990). KyotoUniversity, Research Institute for Mathematical Sciences, Kyoto, 1990. pp. i–ii and1–208. 58-06 (32-06)

[441] MR1069968 Reviewed Laptev, A.; Safarov, Yu. G. Global solution of thewave equation. Journées "Équations aux Dérivées Partielles'' (Saint Jean de Monts,1990), Exp. No. XVIII, 9 pp., École Polytech., Palaiseau, 1990. (Reviewer: P.Günther) 58G16 (35A08 35L05)

[442] MR1068748 Reviewed Vaisman, Izu Residues of Chern and Maslov classes.Geometry and topology of submanifolds, II (Avignon, 1988), 370–385, World Sci.Publ., Teaneck, NJ, 1990. (Reviewer: Akira Asada) 57R20 (58G15)

[443] MR1068730 Reviewed Geometry and topology of submanifolds. II.Proceedings of the International Meeting held in Avignon, May 30–June 3, 1988.Edited by M. Boyom, J.-M. Morvan and L. Verstraelen. World Scientific PublishingCo., Inc., Teaneck, NJ, 1990. x+412 pp. ISBN: 981-02-0251-2 53-06

[444] MR1068473 Reviewed Creagh, Stephen C.; Robbins, Jonathan M.;

R 2n

R 2n


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Littlejohn, Robert G. Geometrical properties of Maslov indices in the semiclassicaltrace formula for the density of states. Phys. Rev. A (3) 42 (1990), no. 4,1907–1922. 81S30 (58F05 58F22 58G26)

[445] MR1064224 Reviewed Vaisman, Izu Conormal bundles with vanishingMaslov form. Monatsh. Math. 109 (1990), no. 4, 305–310. (Reviewer: Mark J.Gotay) 58F05 (53C42 57R20)

[446] MR1062009 Reviewed Lehmann, D. Classes caractéristiques residuelles.(French) [Residual characteristic classes] Differential geometry and its applications(Brno, 1989), 85–108, World Sci. Publ., Teaneck, NJ, 1990. (Reviewer: I.Vaisman) 57R20 (53C15 58A12)

[447] MR1057340 Reviewed Fomenko, A. T. Variational principles of topology.Multidimensional minimal surface theory. Translated from the Russian by O.Efimov. Mathematics and its Applications (Soviet Series), 42. Kluwer AcademicPublishers Group, Dordrecht, 1990. xviii+374 pp. ISBN: 0-7923-0230-3(Reviewer: Helmut Kaul) 58E15 (49Q20 53C42 57Rxx 58E12)

[448] MR1052116 Reviewed Gozzi, E.; Reuter, M. Classical mechanics as atopological field theory. Phys. Lett. B 240 (1990), no. 1-2, 137–144. 58F05 (70G9981Q20 81T70)

[449] MR1047136 Reviewed Viterbo, C. A new obstruction to embeddingLagrangian tori. Invent. Math. 100 (1990), no. 2, 301–320. (Reviewer: MichelWillem) 58F05 (53C23 58E05 58F22)

[450] MR1044769 Reviewed Crumeyrolle, Albert Orthogonal and symplecticClifford algebras. Spinor structures. Mathematics and its Applications, 57. KluwerAcademic Publishers Group, Dordrecht, 1990. xiv+350 pp. ISBN: 0-7923-0541-8(Reviewer: Dominique Lambert) 53A50 (15A66 17B81 53C80 58A10 81R25)

[451] MR1042863 Reviewed de Gosson, Maurice La définition de l'indice deMaslov sans hypothèse de transversalité. (French) [Definition of the Maslov indexwithout a transversality assumption] C. R. Acad. Sci. Paris Sér. I Math. 310(1990), no. 5, 279–282. (Reviewer: Stig I. Andersson) 58G15 (53C15)

[452] MR1039363 Reviewed Salamon, Dietmar; Zehnder, Eduard Floerhomology, the Maslov index and periodic orbits of Hamiltonian equations. Analysis,et cetera, 573–600, Academic Press, Boston, MA, 1990. (Reviewer: Yong-GeunOh) 58F05 (55N35 58E05 58F22 70H05)

[453] MR1039336 Reviewed Analysis, et cetera. Research papers published inhonor of Jürgen Moser's 60th birthday. Edited by Paul H. Rabinowitz and EduardZehnder. Academic Press, Inc., Boston, MA, 1990. xii+694 pp. ISBN:0-12-574249-5 00A10 (35-06 58-06)

[454] MR1126038 Indexed Littlejohn, Robert G. Wave packets, Maslov indices,and semiclassical quantization. Spacetime symmetries (College Park, MD, 1988).Nuclear Phys. B Proc. Suppl. 6 (1989), 238–239. 81Q20

[455] MR1125995 Reviewed Spacetime symmetries. Proceedings of theInternational Symposium in commemoration of the 50th anniversary of EugenePaul Wigner's fundamental paper on the inhomogeneous Lorentz group held at the


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University of Maryland, College Park, Maryland, May 24–28, 1988. Edited by Y. S.Kim and W. W. Zachary. Nuclear Phys. B Proc. Suppl. 6 (1989). Elsevier SciencePublishers, B.V., Amsterdam, 1989. pp. i–xiii and 1–472. 81-06

[456] MR1116138 Reviewed Lalonde, François Quelques invariants topologiquesen géométrie symplectique. (French) [Some topological invariants in symplecticgeometry] Geometry and topology of submanifolds (Marseille, 1987), 149–156,World Sci. Publ., Teaneck, NJ, 1989. (Reviewer: Charles-Michel Marle) 57R20(57R15 58F05)

[457] MR1116127 Indexed Audin, Michèle La classe de Maslov, encore .(French) [The Maslov class, again ] Geometry and topology of submanifolds(Marseille, 1987), 10–12, World Sci. Publ., Teaneck, NJ, 1989. 57R20

[458] MR1116125 Reviewed Geometry and topology of submanifolds.Proceedings of the International Meeting held in Marseille, May 18–23, 1987. Editedby Jean-Marie Morvan and Leopold Verstraelen. World Scientific Publishing Co.,Inc., Teaneck, NJ, 1989. x+248 pp. ISBN: 9971-50-932-6 53-06

[459] MR1040516 Reviewed Yoshioka, Akira The quasi-classical calculation ofeigenvalues for the Bochner-Laplacian on a line bundle. Geometry of manifolds(Matsumoto, 1988), 39–56, Perspect. Math., 8, Academic Press, Boston, MA,1989. (Reviewer: Manfred Andrié) 58G25 (58F05 58F19)

[460] MR1038491 Reviewed Vaisman, I. Basics of Lagrangian foliations. Publ.Mat. 33 (1989), no. 3, 559–575. (Reviewer: Serge L. Tabachnikov) 58F05 (57R30)

[461] MR1035373 Reviewed Giventalʹ, A. B. Periodic mappings in symplectictopology. (Russian) Funktsional. Anal. i Prilozhen. 23 (1989), no. 4, 37--52, 96;translation in Funct. Anal. Appl. 23 (1989), no. 4, 287–300 (1990) (Reviewer:Jean-Claude Sikorav) 58F05 (55M20 57R15 57R52 57S15)

[462] MR1014621 Reviewed Le Khong Van Minimal -Lagrangian surfaces inalmost Hermitian manifolds. (Russian) Mat. Sb. 180 (1989), no. 7, 924--936, 991;translation in Math. USSR-Sb. 67 (1990), no. 2, 379–391 (Reviewer: GeorgiGanchev) 53C42 (53C15 58E12 58F05)

[463] MR1002523 Reviewed Polterovich, L. V. Strongly optical Lagrangianmanifolds. (Russian) Mat. Zametki 45 (1989), no. 2, 95--104, 143; translation inMath. Notes 45 (1989), no. 1-2, 152–158 (Reviewer: I. Vaisman) 58F05

[464] MR0997879 Reviewed Goldfarb, Warren Random models and the Maslovclass. J. Symbolic Logic 54 (1989), no. 2, 460–466. (Reviewer: M. Yasuhara)03B25 (03B10 03C13 60A99)

[465] MR0996505 Reviewed Zamov, N. K. Maslov's inverse method anddecidable classes. Ann. Pure Appl. Logic 42 (1989), no. 2, 165–194. (Reviewer:Sergey G. Vorobyov) 03B35 (03B25 68T15)

[466] MR0995917 Reviewed Trofimov, V. V. Symplectic connections, the Maslovindex and a conjecture of Fomenko. (Russian) Dokl. Akad. Nauk SSSR 304(1989), no. 6, 1302--1305; translation in Soviet Math. Dokl. 39 (1989), no. 1,214–217 (Reviewer: V. F. Lazutkin) 58F05 (53C57 57R20 58F07 58G30)

[467] MR1127428 Reviewed Ouzilou, R. Représentation métaplectique. (French)

……

Φ


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[Metaplectic representation] Publications du Département de Mathématiques.Nouvelle Série. C [Publications of the Department of Mathematics. New Series. C],88-2. Université Claude-Bernard, Département de Mathématiques, Lyon, 1988.viii+77 pp. (Reviewer: Wojciech Lisiecki) 22E45 (11F27 58F05 58F06)

[468] MR1066955 Reviewed Fedoryuk, M. V. Equations with rapidly oscillatingsolutions. (Russian) Current problems in mathematics. Fundamental directions.Vol. 34 (Russian), 5–56, 248, Itogi Nauki i Tekhniki, Akad. Nauk SSSR, Vsesoyuz.Inst. Nauchn. i Tekhn. Inform., Moscow, 1988. (Reviewer: J. S. Joel) 58G15(35B40 35S05 58C27 58G16)

[469] MR1065996 Reviewed Vassilyev, V. A. Lagrange and Legendrecharacteristic classes. Translated from the Russian. Advanced Studies inContemporary Mathematics, 3. Gordon and Breach Science Publishers, New York,1988. x+268 pp. ISBN: 2-88124-661-3 (Reviewer: Maria Carmen Romero-Fuster)57R45 (57R20 58C27 58F05)

[470] MR1041281 Reviewed Trofimov, V. V. The Maslov index of Lagrangiansubmanifolds of symplectic manifolds. (Russian) Trudy Sem. Vektor. Tenzor. Anal.No. 23 (1988), 190–194. (Reviewer: L. E. Faybusovich) 58F05

[471] MR0992408 Reviewed Cahen, M. Maslov index and half-forms. Spinors inphysics and geometry (Trieste, 1986), 30–43, World Sci. Publishing, Singapore,1988. (Reviewer: Virgil Obădeanu) 58F06

[472] MR0992405 Reviewed Spinors in physics and geometry. Proceedings of theFirst Conference held in Trieste, September 11–13, 1986. Edited by A. Trautmanand G. Furlan. World Scientific Publishing Co., Singapore, 1988. xii+354 pp. ISBN:9971-50-763-3 53-06 (15A66 53A50 81D27)

[473] MR0985103 Reviewed Ozorio de Almeida, Alfredo M. Hamiltonian systems:chaos and quantization. Translated from the Portuguese. Cambridge Monographson Mathematical Physics. Cambridge University Press, Cambridge, 1988. x+238pp. ISBN: 0-521-34531-6 (Reviewer: Richard C. Churchill) 58F05 (58F06 70H0581C25 81D07)

[474] MR0982587 Reviewed Zilʹbergleĭt, L. V. Topological invariants of geometricsingularities of solutions of Monge-Ampère equations. (Russian) Izv. Vyssh.Uchebn. Zaved. Mat. 1988, no. 9, 30--37; translation in Soviet Math. (Iz. VUZ)32 (1988), no. 9, 41–52 (Reviewer: I. Vaisman) 58G99

[475] MR0981383 Reviewed Sternberg, Shlomo The pairing method and bosonicanomalies. Differential geometrical methods in theoretical physics (Como, 1987),261–293, NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci., 250, Kluwer Acad. Publ.,Dordrecht, 1988. (Reviewer: P. L. Robinson) 58F06 (22E70 81D07)

[476] MR0971493 Reviewed Tevdoradze, Z. A. A remark on the calculation of theArnolʹd-Maslov class for Liouville tori in cotangent bundles. (Russian) Uspekhi Mat.Nauk 43 (1988), no. 5(263), 219--220; translation in Russian Math. Surveys 43(1988), no. 5, 260–261 (Reviewer: I. Vaisman) 58F05

[477] MR0965721 Reviewed Littlejohn, Robert G. Cyclic evolution in quantummechanics and the phases of Bohr-Sommerfeld and Maslov. Phys. Rev. Lett. 61(1988), no. 19, 2159–2162. (Reviewer: H. Hogreve) 81C99 (58G15 81D30)


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[478] MR0953435 Reviewed Huber, Daniel; Heller, Eric J.; Littlejohn, Robert G.Generalized Gaussian wave packet dynamics, Schrödinger equation, and stationaryphase approximation. J. Chem. Phys. 89 (1988), no. 4, 2003–2014. (Reviewer:Gheorghe Nenciu) 81C05 (35C20 81C15)

[479] MR0951175 Reviewed Vaisman, Izu Classes caractéristiques secondairesdes sous-fibrés lagrangiens. (French) [Secondary characteristic classes ofLagrangian subbundles] Action hamiltoniennes de groupes. Troisième théorème deLie (Lyon, 1986), 141–151, Travaux en Cours, 27, Hermann, Paris, 1988.(Reviewer: D. Lehmann) 58F05 (53C57 57R32)

[480] MR0947612 Reviewed Giventalʹ, A. B. Global properties of the Maslovindex and Morse theory. (Russian) Funktsional. Anal. i Prilozhen. 22 (1988), no.2, 69--70; translation in Funct. Anal. Appl. 22 (1988), no. 2, 141–142 (Reviewer:V. Oproiu) 58G10 (57R45 58F05)

[481] MR0936910 Reviewed Le Khong Van; Fomenko, A. T. Lagrangian manifoldsand the Maslov index in the theory of minimal surfaces. (Russian) Dokl. Akad.Nauk SSSR 299 (1988), no. 1, 42--45; translation in Soviet Math. Dokl. 37(1988), no. 2, 330–333 (Reviewer: John C. Wood) 53C42 (49F10 53A10 58E15)

[482] MR0922197 Reviewed Jones, Christopher K. R. T. An instability mechanismfor radially symmetric standing waves of a nonlinear Schrödinger equation. J.Differential Equations 71 (1988), no. 1, 34–62. (Reviewer: B. G. Konopelʹchenko)35Q20 (35J15 58G11 81C05)

[483] MR0948527 Reviewed Vaisman, Izu Classes caractéristiques secondairesen géométrie symplectique. (French) [Secondary characteristic classes insymplectic geometry] Confer. Sem. Mat. Univ. Bari No. 220 (1987), 17 pp. (1988).(Reviewer: Jean-Claude Sikorav) 58F05 (55R40 57R20)

[484] MR0937540 Reviewed Cardoso, Fernando; Mendoza, Ramón The spectraldistribution of a globally elliptic operator. Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4)14 (1987), no. 1, 143–163. (Reviewer: Fumioki Asakura) 35P20 (35H05 35S0558F05 58G15 58G25)

[485] MR0932470 Reviewed Vaisman, Izu Symplectic geometry and secondarycharacteristic classes. Progress in Mathematics, 72. Birkhäuser Boston, Inc.,Boston, MA, 1987. x+215 pp. ISBN: 0-8176-3356-1 (Reviewer: Jean-ClaudeSikorav) 58F05 (53C57 57R20)

[486] MR0920607 Reviewed Benci, V. Some applications of the Morse-Conleytheory to the study of periodic solutions of second order conservative systems.Periodic solutions of Hamiltonian systems and related topics (Il Ciocco, 1986),57–78, NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci., 209, Reidel, Dordrecht, 1987.(Reviewer: Michel Willem) 58F05 (58E05 58F22)

[487] MR0916710 Reviewed Johnson, Russell A. -functions and Floquetexponents for linear differential systems. Ann. Mat. Pura Appl. (4) 147 (1987),211–248. (Reviewer: Walter Eberhard) 34B20 (58F05 58F19)

[488] MR0910890 Reviewed Littlejohn, Robert G.; Robbins, Jonathan M. Newway to compute Maslov indices. Phys. Rev. A (3) 36 (1987), no. 6, 2953–2961.

m


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(Reviewer: V. F. Lazutkin) 58F05 (58G15 81C25)

[489] MR0881785 Reviewed Robbins, Jonathan M.; Littlejohn, Robert G. Maslovindices of resonant tori. Phys. Rev. Lett. 58 (1987), no. 14, 1388–1391. 58F05(58G15 81D99)

[490] MR0894627 Reviewed Vaisman, I. The Maslov class of some Legendresubmanifolds. J. Geom. Phys. 3 (1986), no. 3, 289–301. (Reviewer: Jean-ClaudeSikorav) 58F05 (53C57 57R20)

[491] MR0890121 Reviewed Yajima, Kenji Quasiclassical approximation ofscattering amplitude. Proceedings of the conference on spectral and scatteringtheory for differential operators (Fujisakura-so, 1986), 214–220, Seizô Itô, Tokyo,1986. (Reviewer: Hitoshi Kitada) 81F15 (35Q20)

[492] MR0850751 Reviewed Morvan, J.-M.; Niglio, L. Classes caractéristiquesdes couples de sous-fibrés lagrangiens. (French) [Characteristic classes of pairs ofLagrangian subbundles] Ann. Inst. Fourier (Grenoble) 36 (1986), no. 2, 193–209.(Reviewer: Italo José Dejter) 58G15 (57R20)

[493] MR0845963 Reviewed Littlejohn, Robert G. The semiclassical evolution ofwave packets. Phys. Rep. 138 (1986), no. 4-5, 193–291. (Reviewer: EugeneGutkin) 81C12 (22E45 58C27)

[494] MR0837693 Reviewed Jones, C. K. R. T. On the infinitely many standingwaves of some nonlinear Schroedinger equations. Nonlinear systems of partialdifferential equations in applied mathematics, Part 2 (Santa Fe, N.M., 1984), 3–21,Lectures in Appl. Math., 23, Amer. Math. Soc., Providence, RI, 1986. (Reviewer:Woodford W. Zachary) 35Q20 (35B05)

[495] MR0837288 Reviewed Agrachëv, A. A.; Gamkrelidze, R. V. Morse andMaslov indices for the extremals of controllable systems. (Russian) Dokl. Akad.Nauk SSSR 287 (1986), no. 3, 521–524. (Reviewer: A. Göpfert) 58E25 (58G35)

[496] MR0864874 Reviewed Vaisman, I. Lagrangian foliations and characteristicclasses. Differential geometry (Santiago de Compostela, 1984), 245–256, Res.Notes in Math., 131, Pitman, Boston, MA, 1985. (Reviewer: Howard D. Rees)58G15 (57N75 57R20 57R30 58F05)

[497] MR0842909 Reviewed Kirillov, A. A. Geometric quantization. (Russian)Current problems in mathematics. Fundamental directions, Vol. 4, 141–178, 291,Itogi Nauki i Tekhniki, Akad. Nauk SSSR, Vsesoyuz. Inst. Nauchn. i Tekhn.Inform., Moscow, 1985. (Reviewer: Virgil Obădeanu) 58F06

[498] MR0842908 Reviewed Arnolʹd, V. I.; Giventalʹ, A. B. Symplectic geometry.(Russian) Current problems in mathematics. Fundamental directions, Vol. 4,5–139, 291, Itogi Nauki i Tekhniki, Akad. Nauk SSSR, Vsesoyuz. Inst. Nauchn. iTekhn. Inform., Moscow, 1985. (Reviewer: A. Morimoto) 58F05 (53C57 58C2758E30)

[499] MR0819786 Reviewed Boutet de Monvel, L. Opérateurs à bicaractéristiquespériodiques. (French) [Operators with periodic bicharacteristics]Bony-Sjöstrand-Meyer seminar, 1984–1985, Exp. No. 20, 13 pp., École Polytech.,Palaiseau, 1985. (Reviewer: Edmond Combet) 58G25 (58C40)


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[500] MR0812451 Reviewed Keller, Joseph B. Semiclassical mechanics. SIAMRev. 27 (1985), no. 4, 485–504. (Reviewer: Martin C. Gutzwiller) 81C15 (35J0558G15 58G25)

Mirror Sites



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[501] MR0806563 Reviewed Turaev, V. G. The first symplectic Chern class andMaslov indices. (Russian) Studies in topology, V. Zap. Nauchn. Sem. Leningrad.Otdel. Mat. Inst. Steklov. (LOMI) 143 (1985), 110–129, 178. (Reviewer: I.Vaisman) 58F05 (57R20 58G15)

[502] MR0806558 Reviewed Studies in topology. V. (Russian) Edited by A. A.Ivanov. Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI) 143(1985). ``Nauka'' Leningrad. Otdel., Leningrad, 1985. pp. 1–180. 54-06 (55-0657-06)

[503] MR0794557 Reviewed Kashiwara, Masaki; Schapira, Pierre Microlocal studyof sheaves. Corrections to this article can be found in Astérisque No. 130, p. 209.Astérisque No. 128 (1985), 235 pp. (Reviewer: Teresa Monteiro-Fernandes)58G15 (32C35 32C38 58G07)

[504] MR0788993 Reviewed Vaĭnberg, B. R. The parametrix and asymptotics ofthe spectral function of differential operators in . (Russian) Dokl. Akad. NaukSSSR 282 (1985), no. 2, 265–269. (Reviewer: Ya. V. Kurylev) 35P20 (47F0558G25)

[505] MR0785067 Reviewed Morvan, Jean-Marie; Niglio, Louis Classes de Maslovd'ordres supérieurs. (French) [Maslov classes of higher orders] C. R. Acad. Sci.Paris Sér. I Math. 300 (1985), no. 9, 271–274. 58G15 (57R20 58F05)

[506] MR0763778 Reviewed Magneron, Bernard Spineurs symplectiques purs etindice de Maslov de plans lagrangiens positifs. (French) [Pure symplectic spinorsand the Maslov index of positive Lagrangian planes] J. Funct. Anal. 59 (1984), no.1, 90–122. (Reviewer: Yakov Eliashberg) 58F06 (22E45 58G15)

[507] MR0761849 Reviewed Rezende, Jorge Quantum systems withtime-dependent harmonic part and the Morse index. J. Math. Phys. 25 (1984), no.11, 3264–3269. (Reviewer: G. Albinus) 81C15 (58E05 58G15)

[508] MR0756303 Reviewed Grifone, Joseph Classe de Maslov pour les fibrésquaternioniens. (French) [Maslov class for quaternionic fiber bundles] C. R. Acad.Sci. Paris Sér. I Math. 299 (1984), no. 1, 29–32. 58F05 (53C15 57R20)

[509] MR0753859 Reviewed Morvan, J.-M. Obstructions à la transversalité dedeux champs de plans lagrangiens. (French) [Obstructions to the transversality oftwo Lagrangian plane fields] South Rhone seminar on geometry, II (Lyon, 1983),55–71, Travaux en Cours, Hermann, Paris, 1984. (Reviewer: Michèle Audin) 58F05(57R20)

[510] MR0746805 Reviewed Grifone, J.; Hassan, E. Connexions singulières et

R n


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classe de Maslov. (French) [Singular connections and Maslov classes] Differentialgeometry (Peñíscola, 1982), 71–83, Lecture Notes in Math., 1045, Springer,Berlin, 1984. (Reviewer: Jean-Marie Morvan) 58F05 (53C05)

[511] MR0746797 Reviewed Differential geometry. Proceedings of theinternational symposium held at Peñíscola, October 3–10, 1982. Edited by A. M.Naveira. Lecture Notes in Mathematics, 1045. Springer-Verlag, Berlin, 1984.viii+194 pp. ISBN: 3-540-12882-4 53-06 (00A11)

[512] MR0739088 Reviewed Turaev, V. G. A cocycle of the symplectic first Chernclass and Maslov indices. (Russian) Funktsional. Anal. i Prilozhen. 18 (1984), no.1, 43–48. (Reviewer: David Gurarie) 58G37 (18G10 53C15 57R20 58G15)

[513] MR0736413 Reviewed Candelpergher, B.; Nosmas, J.-C. Propriétésspectrales d'opérateurs différentiels asymptotiques autoadjoints. (French)[Spectral properties of selfadjoint asymptotic differential operators] Comm. PartialDifferential Equations 9 (1984), no. 2, 137–167. (Reviewer: V. Ivriĭ) 58G25 (35P2035S05)

[514] MR1567470 DML Blattner, Robert J.; Ralston, James; Book Review:Lagrangian analysis and quantum mechanics, a mathematical structure related toasymptotic expansions and the Maslov index // Book Review: Semi-classicalapproximation in quantum mechanics. Bull. Amer. Math. Soc. (N.S.) 9 (1983), no.3, 387–396.

[515] MR0732127 Reviewed Lion, Zh.; Vernʹ, M. \cyr Predstavlenie Veĭlya, indeksMaslova i tèta-ryady. (Russian) [The Weil representation, Maslov index and thetaseries] Translated from the English and with a preface by A. A. Kirillov. ``Mir'',Moscow, 1983. 217 pp. 58G15 (10D20 10D40 14K25 22D10 81D05)

[516] MR0714023 Reviewed Morvan, Jean-Marie Quelques invariantstopologiques en géométrie symplectique. (French) [Some topological invariants insymplectic geometry] Ann. Inst. H. Poincaré Sect. A (N.S.) 38 (1983), no. 4,349–370. (Reviewer: Alan Weinstein) 58F05 (53C15 58A12)

[517] MR0704742 Reviewed Dedene, Guido The Maslov class of a Lagrangianimmersion in an almost Kähler manifold. C. R. Math. Rep. Acad. Sci. Canada 5(1983), no. 2, 91–95. (Reviewer: I. Vaisman) 53C42 (53C15 58G15)

[518] MR0713718 Reviewed Xu, Chao Jiang The fundamental solutions of theCauchy problem for a class of hyperbolic pseudodifferential operators. (Chinese) J.Wuhan Univ. Natur. Sci. Ed. 1983, no. 1, 66–90. 35S10 (35L99 58C15)

[519] MR0712168 Reviewed Morvan, J.-M. On Lagrangian immersions.Symplectic geometry (Toulouse, 1981), 167–171, Res. Notes in Math., 80, Pitman,Boston, MA, 1983. 58F05 (53C15 58G30)

[520] MR0699560 Reviewed Byrnes, Christopher I. On a theorem of Hermite andHurwitz. Linear Algebra Appl. 50 (1983), 61–101. (Reviewer: Johan G. Belinfante)11E12 (93D05 94C05)

[521] MR0723869 Reviewed Mathematical problems in theoretical physics.Proceedings of the sixth international conference on mathematical physics held inBerlin, August 11–20, 1981. Edited by Robert Schrader, Rudolf Seiler and Dietrich


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A. Uhlenbrock. Lecture Notes in Physics, 153. Springer-Verlag, Berlin-New York,1982. xii+429 pp. ISBN: 3-540-11192-1 81-06 (82-06)

[522] MR0706901 Reviewed Differential geometry. Proceedings of a Colloquiumheld in Budapest, September 3–7, 1979. Edited by Gy. Soós and J. Szenthe.Colloquia Mathematica Societatis János Bolyai, 31. North-Holland Publishing Co.,Amsterdam-New York, 1982. 829 pp. ISBN: 0-444-86197-1 53-06

[523] MR0653412 Reviewed Leopold, J. G.; Percival, I. C.; Richards, D. Classicaland semiclassical theory for the exchange symmetry of identical particles. J. Phys.A 15 (1982), no. 3, 805–824. (Reviewer: J. S. Joel) 81C15 (58F40 81F99)

[524] MR0706914 Reviewed Crumeyrolle, A. Maslov classes, symplectic spinorialfibrations. Differential geometry (Budapest, 1979), 167–176, Colloq. Math. Soc.János Bolyai, 31, North-Holland, Amsterdam, 1982. (Reviewer: Kotik K. Lee)58F05 (53C15 58G15)

[525] MR0659045 Reviewed Fujiwara, Hidenori Certains opérateursd'entrelacement pour des groupes de Lie résolubles exponentiels et leursapplications. (French) [Certain intertwining operators for exponential solvable Liegroups and their applications] Mem. Fac. Sci. Kyushu Univ. Ser. A 36 (1982), no.1, 13–72. (Reviewer: Rainer Felix) 22E27 (22E45)

[526] MR0690062 Reviewed Helmstetter, J. Algèbres de Clifford et algèbres deWeyl. (French) [Clifford algebras and Weyl algebras] Cahiers MathématiquesMontpellier [Montpellier Mathematical Reports], 25. Université des Sciences etTechniques du Languedoc, U.E.R. de Mathématiques, Montpellier, 1982. i+129 pp.(Reviewer: A. Crumeyrolle) 58F05 (15A66 16A99 20G99 58G15)

[527] MR0676383 Reviewed Grifone, Joseph Connexions singulières et classe deMaslov. (French) [Singular connections and Maslov class] C. R. Acad. Sci. ParisSér. I Math. 295 (1982), no. 2, 139–142. 53C22 (53C05 53C60 58G15)

[528] MR0644841 Reviewed Perrin, Patrice Représentations de Schrödinger,indice de Maslov et groupe metaplectique. (French) [Schrödinger representations,Maslov index and metaplectic group] Noncommutative harmonic analysis and Liegroups (Marseille, 1980), pp. 370–407, Lecture Notes in Math., 880, Springer,Berlin-New York, 1981. (Reviewer: Edmond Combet) 22E50

[529] MR0646266 Reviewed Leray, Jean \cyr Lagranzhev analiz i kvantovayamekhanika. (Russian) [Lagrangian analysis and quantum mechanics] \cyrMatematicheskaya struktura, svyazannaya s asimptoticheskimi razlozheniyami iindeksom Maslova. [A mathematical structure related to asymptotic expansionsand the Maslov index] Translated from the French by Z. Ya. Shapiro. \cyrMatematika: Novoe v Zarubezhnoĭ Nauke [Mathematics: Recent Publications inForeign Science], 26. ``Mir'', Moscow, 1981. 262 pp. (Reviewer: J. S. Joel) 58G15(35B99 81C99)

[530] MR0644633 Reviewed Leray, Jean Lagrangian analysis and quantummechanics. A mathematical structure related to asymptotic expansions and theMaslov index. Translated from the French by Carolyn Schroeder. MIT Press,Cambridge, Mass.-London, 1981. xvii+271 pp. ISBN: 0-262-12087-9 (Reviewer: J.S. Joel) 58G15 (35B99 81C99)


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[531] MR0644831 Reviewed Fujiwara, Hidenori; Lion, Gérard; Magneron, BernardOpérateurs d'entrelacement et calcul d'obstruction sur des groupes de Lierésolubles. (French) [Intertwining operators and calculation of the obstruction onsolvable Lie groups] Noncommutative harmonic analysis and Lie groups (Marseille,1980), pp. 102–137, Lecture Notes in Math., 880, Springer, Berlin-New York,1981. (Reviewer: T. Sund) 22E27

[532] MR0654208 Reviewed Dazord, Pierre Sur la géométrie des sous-fibrés etdes feuilletages lagrangiens. (French) [On the geometry of subbundles andLagrange foliations] Ann. Sci. École Norm. Sup. (4) 14 (1981), no. 4, 465–480(1982). (Reviewer: I. Vaisman) 53C15 (58G15)

[533] MR0640730 Reviewed Byrnes, Christopher I. On a theorem of Hermite andHurwitz. Visiting scholars' lectures—1980 (Lubbock, Tex., 1980), pp. 1–57, Math.Ser., 14, Texas Tech Univ., Lubbock, Tex., 1981. (Reviewer: Allen Tannenbaum)93B25 (14D20 58F99)

[534] MR0630336 Reviewed Vasilʹev, V. A. Characteristic classes of Lagrangeand Legendre manifolds, that are dual to singularities of caustics and wave fronts.(Russian) Funktsional. Anal. i Prilozhen. 15 (1981), no. 3, 10–22. (Reviewer: AlanWeinstein) 58C27 (58F05)

[535] MR0644824 Reviewed Noncommutative harmonic analysis and Lie groups.Proceedings of the Colloquium on Noncommutative Harmonic Analysis held inMarseille, June 16–20, 1980. Edited by Jacques Carmona and Michèle Vergne.Lecture Notes in Mathematics, 880. Springer, Berlin, 1981. iv+553 pp. ISBN:3-540-10872-6 22-06 (43-06)

[536] MR0625362 Reviewed Morvan, Jean-Marie Classe de Maslov d'uneimmersion lagrangienne et minimalité. (French) C. R. Acad. Sci. Paris Sér. I Math.292 (1981), no. 13, 633–636. 58G15 (53C40)

[537] MR0597145 Reviewed Trèves, François Introduction to pseudodifferentialand Fourier integral operators. Vol. 2. Fourier integral operators. The UniversitySeries in Mathematics. Plenum Press, New York-London, 1980. xiv+301–649+xipp. ISBN: 0-306-40404-4 (Reviewer: Vesselin M. Petkov) 58G15 (35Sxx 47G05)

[538] MR0601438 Reviewed Leray, Jean Lagrangian analysis and quantummechanics (mathematical theory connected with asymptotic expansions and theMaslov index). (Russian) Partial differential equations (Proc. Conf., Novosibirsk,1978) (Russian), pp. 175–176, 254, "Nauka'' Sibirsk. Otdel., Novosibirsk, 1980.58G15 (81C15)

[539] MR0605863 Reviewed Byrnes, Christopher I.; Duncan, Tyrone E. A note onthe topology of spaces of Hamiltonian transfer functions. Algebraic and geometricmethods in linear systems theory (AMS-NASA-NATO Summer Sem., HarvardUniv., Cambridge, Mass., 1979), pp. 7–26, Lectures in Appl. Math., 18, Amer.Math. Soc., Providence, R.I., 1980. 93B17 (14D20 57R70 58F05)

[540] MR0581756 Reviewed Magneron, Bernard Opérateurs d'entrelacement desreprésentations unitaires irréductibles des groupes de Lie nilpotents et indice deMaslov. (French) C. R. Acad. Sci. Paris Sér. A-B 290 (1980), no. 20, A943–A946.(Reviewer: A. Verona) 22E27 (58G15)


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[541] MR0601391 Reviewed \cyr Differentsialʹnye uravneniya s chastnymiproizvodnymi. (Russian) [Partial differential equations] Proceedings of aConference on Differential Equations and Numerical Mathematics held atNovosibirsk, September 26–28, 1978. Edited by S. K. Godunov. ``Nauka'' Sibirsk.Otdel., Novosibirsk, 1980. 256 pp. (errata insert). 35-06

[542] MR0596005 Reviewed Nishiwada, Kimimasa Explicit formulae for solutionsof Schrödinger equations with quadratic Hamiltonians. Proc. Japan Acad. Ser. AMath. Sci. 56 (1980), no. 8, 362–366. (Reviewer: Edmond Combet) 35E05(58G15 81C05)

[543] MR0590976 Reviewed Lion, Gérard Groupes de Lie résolubles et indices deMaslov. (French) C. R. Acad. Sci. Paris Sér. A-B 291 (1980), no. 1, A7–A10.(Reviewer: A. Verona) 22E27

[544] MR0573448 Reviewed Lion, Gérard; Vergne, Michèle The Weilrepresentation, Maslov index and theta series. Progress in Mathematics, 6.Birkhäuser, Boston, Mass., 1980. vi+337 pp. ISBN: 3-7643-3007-4 (Reviewer: A.Crumeyrolle) 58G15 (10D20 14K25 22D10 81D05)

[545] MR0566483 Reviewed Colin de Verdière, Yves Spectre conjointd'opérateurs pseudo-différentiels qui commutent. II. Le cas intégrable. (French)Math. Z. 171 (1980), no. 1, 51–73. (Reviewer: M. S. Agranovich) 58G25 (35P2047G05 81C05)

[546] MR0533237 Reviewed Crumeyrolle, Albert Classes de Maslov, fibrationsspinorielles symplectiques et transformation de Fourier. (French) J. Math. PuresAppl. (9) 58 (1979), no. 1, 111–120. (Reviewer: Yu. V. Egorov) 58G15 (58F05)

[547] MR0548005 Reviewed Dreben, Burton; Goldfarb, Warren D. The decisionproblem. Solvable classes of quantificational formulas. Advanced Book Program.Addison-Wesley Publishing Co., Reading, Mass., 1979. xii+271 pp. ISBN:0-201-02540-X (Reviewer: Egon Börger) 03B25

[548] MR0560333 Reviewed Magneron, Bernard Une extension de la notiond'indices de Maslov. (French) C. R. Acad. Sci. Paris Sér. A-B 289 (1979), no. 14,A683–A686. 58G99 (22E45)

[549] MR0543346 Reviewed Colin de Verdière, Yves Sur le spectre desopérateurs elliptiques à bicaractéristiques toutes périodiques. (French) Comment.Math. Helv. 54 (1979), no. 3, 508–522. (Reviewer: M. S. Agranovich) 58G25(35P20 47G05)

[550] MR0550903 Reviewed Tabor, Michael The role of periodic orbits insemiclassical quantization. Stochastic behavior in classical and quantumHamiltonian systems (Volta Memorial Conf., Como, 1977), pp. 293–298, LectureNotes in Phys., 93, Springer, Berlin-New York, 1979. (Reviewer: Martin Kummer)81C99 (58F06)

[551] MR0539531 Reviewed Guillemin, Victor; Melrose, Richard The Poissonsummation formula for manifolds with boundary. Adv. in Math. 32 (1979), no. 3,204–232. (Reviewer: P. Günther) 58G25 (10J25 35P20)

[552] MR0531240 Reviewed Lion, Gérard Extensions de représentations de


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groupes de Lie nilpotents et indices de Maslov. (French) C. R. Acad. Sci. Paris Sér.A-B 288 (1979), no. 12, A615–A618. 22E27 (58F06)

[553] MR0682398 Reviewed Lion, Gérard Indices de Maslov et représentation deWeil. (French) [Maslov index and the Weil representations] Three lectures on therepresentations of nilpotent and solvable groups, pp. 45–79, Publ. Math. Univ.Paris VII, 2, Univ. Paris VII, Paris, 1978. (Reviewer: J. A. Wolf) 58G15 (22E2758F06 81D05)

[554] MR0682396 Reviewed Trois textes sur les représentations des groupesnilpotents et résolubles. (French) [Three lectures on the representations ofnilpotent and solvable groups] Publications Mathématiques de l'Université Paris VII[Mathematical Publications of the University of Paris VII], 2. Université de Paris VII,U.E.R. de Mathématiques, Paris, 1978. 126 pp. 22-06

[555] MR0501112 Reviewed Colin de Verdière, Yves Sur le spectre desopérateurs elliptiques à bicaractéristiques toutes périodiques. (French) C. R. Acad.Sci. Paris Sér. A-B 286 (1978), no. 24, A1195–A1197. (Reviewer: J. S. Joel)58G15 (35P05)

[556] MR0516294 Reviewed Crumeyrolle, Albert La transformation de Fourier etl'indice de Maslov. (French) C. R. Acad. Sci. Paris Sér. A-B 287 (1978), no. 4,A245–A247. 58F05 (58G15)

[557] MR0454958 Reviewed Arens, Richard Corrected Sommerfeld-Wilson rule ingeometric quantization. J. Math. Anal. Appl. 59 (1977), no. 1, 105–118.(Reviewer: J. S. Joel) 81C30 (58F05)

[558] MR0474393 Reviewed Crumeyrolle, Albert Algèbre de Clifford symplectiquerevêtements du groupe symplectique indices de Maslov et spineurs symplectiques.(French) J. Math. Pures Appl. (9) 56 (1977), no. 2, 205–230. (Reviewer: Hans P.Kunzle) 58F05 (58G99 81.58)

[559] MR0433521 Reviewed Crumeyrolle, Albert La signification cohomologiquede l'indice trilatère d'un triplet lagrangien et de l'indice de Maslov. C. R. Acad. Sci.Paris Sér. A-B 284 (1977), no. 18, A1129–A1132. 58G99

[560] MR0442998 Reviewed Crumeyrolle, Albert Algèbre de Cliffordsymplectique. Revêtements du groupe symplectique. Indices de Maslov et spineurssymplectiques. (French) Period. Math. Hungar. 7 (1976), no. 3-4, 263–289.(Reviewer: Kotik K. Lee) 58G99

[561] MR0420747 Reviewed Voros, A. Semi-classical approximations. Ann. Inst.H. Poincaré Sect. A (N.S.) 24 (1976), no. 1, 31–90. (Reviewer: Manfred Andrie)58G99 (58F05 70.58)

[562] MR0650990 Reviewed Weinstein, Alan Fourier integral operators,quantization, and the spectra of Riemannian manifolds. With questions by W.Klingenberg and K. Bleuler and replies by the author. Géométrie symplectique etphysique mathématique (Colloq. Internat. CNRS, No. 237, Aix-en-Provence,1974), pp. 289–298. Éditions Centre Nat. Recherche Sci., Paris, 1975. 58G15

[563] MR0650836 Reviewed Crumeyrolle, A. Revêtements "spinoriels'' du groupesymplectique et indices de Maslov. (French) Séminaire sur les Équations aux


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Dérivées Partielles (1974–1975), III, Exp. No. 5, 7 pp. Collège de France, Paris,1975. (Reviewer: M. E. Keating (Zbl 354 $\#$22015 and $\#$22016)) 58G15

[564] MR0516962 Reviewed Colin de Verdière, Y. Paramétrix de l'équation desondes et intégrales sur l'espace des chemins. (French) Séminaire Goulaouic-Lions-Schwartz (1974–1975), Équations aux dérivées partielles linéaires et nonlinéaires, Exp. No. 20, 13 pp. Centre Math., École Polytech., Paris, 1975.(Reviewer: J. S. Joel) 58G15

[565] MR0440627 Reviewed Leray, Jean Solutions asymptotiques et groupesymplectique. (French) Fourier integral operators and partial differential equations(Colloq. Internat., Univ. Nice, Nice, 1974), pp. 73–97. Lecture Notes in Math., Vol.459, Springer, Berlin, 1975. (Reviewer: J. W. Robbin) 58G15 (35S05)

[566] MR0391172 Reviewed Dynamical systems—Warwick 1974. Proceedings ofa Symposium titled "Applications of Topology and Dynamical Systems'' held at theUniversity of Warwick, Coventry, 1973/1974. Presented to Professor E. C. Zeemanon his fiftieth birthday, 4th February 1975. Edited by Anthony Manning. LectureNotes in Mathematics, Vol. 468. Springer-Verlag, Berlin-New York, 1975. x+405pp. 58FXX

[567] MR0383455 Reviewed Crumeyrolle, Albert Revêtements spinoriels dugroupe symplectique et indices de Maslov. (French) C. R. Acad. Sci. Paris Sér. A-B280 (1975), no. 25, Aii, A1753–A1756. (Reviewer: Kotik K. Lee) 58D05

[568] MR0385940 Reviewed Weinstein, Alan Quasi-classical mechanics onspheres. Symposia Mathematica, Vol. XIV (Convegno di Geometria Simplettica eFisica Matematica, INDAM, Rome, 1973), pp. 25–32. Academic Press, London,1974. (Reviewer: Manfred Andrie) 58G99

[569] MR0377926 Reviewed Kamber, Franz; Tondeur, Philippe Quelques classescaractéristiques généralisées non triviales de fibrés feuilletés. (French) C. R. Acad.Sci. Paris Sér. A 279 (1974), 921–924. (Reviewer: H. Suzuki) 57D30 (57D20)

[570] MR0610623 Reviewed Maslov, V. P.; Sternin, B. Ju. The canonical operator(the complex case). (Russian) Current problems in mathematics, Vol. 1 (Russian),pp. 169–195, 199. Akad. Nauk SSSR Vsesojuz. Inst. Naučn. i Tehn. Informacii,Moscow, 1973. 35S05 (58G15)

[571] MR0451313 Reviewed Duistermaat, J. J. Fourier integral operators.Translated from Dutch notes of a course given at Nijmegen University, February1970 to December 1971. Courant Institute of Mathematical Sciences, New YorkUniversity, New York, 1973. iii+190 pp. (Reviewer: Michael E. Taylor) 58G15(46F10 47G05 35P05)

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[573] MR0319227 Reviewed Souriau, Jean-Marie Indice de Maslov des variétéslagrangiennes orientables. (French) C. R. Acad. Sci. Paris Sér. A-B 276 (1973),A1025–1026. (Reviewer: J. R. Vanstone) 58G99 (35B40 81.35)

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Maslov canonical operator in the WKB method. (Russian) Funkcional. Anal. iPriložen. 3 (1969), no. 3, 17–31. (Reviewer: J. S. Joel) 58G99 (58F05)

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