Maxim Kontsevich- Vassiliev's knot invariants

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Transcript of Maxim Kontsevich- Vassiliev's knot invariants

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Knot polynomials, homological invariants & topological stringsmember.ipmu.jp/.../2015/25-06-2015-Ramadevi-Pichai.pdf · Knot polynomials, homological invariants & topological strings

Knot polynomials, homological invariants & topological stringsmember.ipmu.jp/.../2015/25-06-2015-Ramadevi-Pichai.pdf · Knot polynomials, homological invariants & topological strings

COCYCLE KNOT INVARIANTS FROM QUANDLE MODULES AND ... · knots and knotted surfaces in state-sum form, called quandl e cocycle (knot) invariants. The quandle cohomology theory is a

COCYCLE KNOT INVARIANTS FROM QUANDLE MODULES AND ... · knots and knotted surfaces in state-sum form, called quandl e cocycle (knot) invariants. The quandle cohomology theory is a

Introduction to Geometric Knot Theory 1: Knot invariants

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Topological invariants of knots: three routes to the ...ucbpeal/alexandermac.pdf · Knots, links and their invariants 1.1 History and knot basics Knots are objects that we are all

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Homological algebra of knots and BPS statesauthors.library.caltech.edu/36874/1/Gukov_2012p125.pdf128 SERGEI GUKOV AND MARKO STO~nC In the case of sl(N) homological knot invariants,

Homological algebra of knots and BPS statesauthors.library.caltech.edu/36874/1/Gukov_2012p125.pdf128 SERGEI GUKOV AND MARKO STO~nC In the case of sl(N) homological knot invariants,

S. Chmutov, S. Duzhin and J. Mostovoy- Introduction to Vassiliev Knot Invariants

S. Chmutov, S. Duzhin and J. Mostovoy- Introduction to Vassiliev Knot Invariants

Higher representation theory in algebra and geometry ... et resume… · the construction of knot invariants using this theory. We’ve already discussed one special case of this,

Higher representation theory in algebra and geometry ... et resume… · the construction of knot invariants using this theory. We’ve already discussed one special case of this,

Contact Structures and Classifications of Legendrian and ... · such things is by using knot invariants. A knot invariant is a mathematical object associated to a knot, that will

Contact Structures and Classifications of Legendrian and ... · such things is by using knot invariants. A knot invariant is a mathematical object associated to a knot, that will

Introduction to Geometric Knot Theory 1: Knot invariants ... · Introduction to Geometric Knot Theory 1: Knot invariants defined by minimizing curve invariants Jason Cantarella University

Introduction to Geometric Knot Theory 1: Knot invariants ... · Introduction to Geometric Knot Theory 1: Knot invariants defined by minimizing curve invariants Jason Cantarella University

WHEELS, WHEELING, AND THE KONTSEVICH INTEGRAL …people.math.gatech.edu/~stavros/publications/wheels.pdf · wheels, wheeling, and the kontsevich integral of the ... proof of theorem

WHEELS, WHEELING, AND THE KONTSEVICH INTEGRAL …people.math.gatech.edu/~stavros/publications/wheels.pdf · wheels, wheeling, and the kontsevich integral of the ... proof of theorem

arXiv:0805.0339v1 [quant-ph] 3 May 2008 · observables which are quantum knot invariants. We should mention that, if one selects a fixed upper bound non knot complex-ity (i.e., a

arXiv:0805.0339v1 [quant-ph] 3 May 2008 · observables which are quantum knot invariants. We should mention that, if one selects a fixed upper bound non knot complex-ity (i.e., a

Knot theory and the Alexander polynomial · 2020-06-09 · 1 Abstract An introduction to the theory of knots is given. Properties of knots are discussed and certain knot invariants

Knot theory and the Alexander polynomial · 2020-06-09 · 1 Abstract An introduction to the theory of knots is given. Properties of knots are discussed and certain knot invariants

Knot Invariants From Maximally Supersymmetric Yang-Mills … · 2011-06-30 · Kapustin and I studied in relation to geometric Langlands.) As a consequence, the expectation value

Knot Invariants From Maximally Supersymmetric Yang-Mills … · 2011-06-30 · Kapustin and I studied in relation to geometric Langlands.) As a consequence, the expectation value

Knot Invariants and M-Theory I: Hitchin Equations, Chern-Simons Actions, and … · 2016-12-15 · Preprint typeset in JHEP style - HYPER VERSION Knot Invariants and M-Theory I: Hitchin

Knot Invariants and M-Theory I: Hitchin Equations, Chern-Simons Actions, and … · 2016-12-15 · Preprint typeset in JHEP style - HYPER VERSION Knot Invariants and M-Theory I: Hitchin

Non-Archimedean Kahler Geometry Kontsevich and Tschinkel

Non-Archimedean Kahler Geometry Kontsevich and Tschinkel

Using symbolic dynamical systems: A search for knot invariants

Using symbolic dynamical systems: A search for knot invariants

VassilievKnot - IHESpagesperso.ihes.fr/~maxim/TEXTS/VassilievKnot.pdf · 2009-09-10 · VASSILIEV'S KNOT INVARIANTS 139 where the sum is taken over all choices of two pairs of points

VassilievKnot - IHESpagesperso.ihes.fr/~maxim/TEXTS/VassilievKnot.pdf · 2009-09-10 · VASSILIEV'S KNOT INVARIANTS 139 where the sum is taken over all choices of two pairs of points

Lecture Notes in Physics · – Knot invariants and configuration spaces – Euclidean quantum field theory and noncommutative geometry – Index theorems and noncommutative topology

Lecture Notes in Physics · – Knot invariants and configuration spaces – Euclidean quantum field theory and noncommutative geometry – Index theorems and noncommutative topology

Knot Homology from Refined Chern Simons Theoryhans.math.upenn.edu/StringMath2011/notes/Aganagic_String... · 2011-06-07 · Simons knot invariants associated to the knot K in M and,

Knot Homology from Refined Chern Simons Theoryhans.math.upenn.edu/StringMath2011/notes/Aganagic_String... · 2011-06-07 · Simons knot invariants associated to the knot K in M and,

Knot Categorification from Geometry and Mirror Symmetryrather than knot invariants. Some mirror symmetry aspects of the story are also new, and will appear in joint work with Vivek

Knot Categorification from Geometry and Mirror Symmetryrather than knot invariants. Some mirror symmetry aspects of the story are also new, and will appear in joint work with Vivek