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Berry Curvature and the Z2 Topological Invariants of Spin-Orbit-Coupled Bloch Bands • Z2 invariance with inversion symmetry • Z2 invariant without inversion symmetry,…

Lecture 3: Berry connection and topological invariants Northern gauge Two-band models Two-band Bloch Hamiltonian and EVP in arbitrary dimension conduction band Berry connection…

PHYSICAL REVIEW B 93, 195163 2016 Topological invariants for interacting topological insulators. I. Efficient numerical evaluation scheme and implementations Yuan-Yao He,1…

PHYSICAL REVIEW B 93, 195164 2016 Topological invariants for interacting topological insulators. II. Breakdown of single-particle Green’s function formalism Yuan-Yao He,1…

Calculating topological invariants with Z2Pack Dominik Gresch and Alexey Soluyanov Abstract The topological phase of non-interacting electronic bandstructure can be classified…

BY 1. Introduction. The problem of finding sufficient invariants to determine completely the knot type of an arbitrary simple, closed curve in 3-space appears to be a very

Knot polynomials, homological invariants topological strings Ramadevi Pichai Department of Physics, IIT Bombay Talk at STRINGS 2015 Plan: i Knot polynomials from Chern-Simons…

Topological invariants for disordered solid state systems Topological invariants for disordered solid state systems Hermann Schulz-Baldes Erlangen main collaborators: Emil…

First-Principles Calculation of Topological Invariants(Wannier Functions Approach)Alexey A. Soluyanov ES'12, WFU, June 8, 2012The present work was done in collaboration with…

Topological invariants for equivariant flows: Conley index and degreeMarcin Styborski PhD Thesis Gdask 2009 0 Introduction 1 0.1 Overview of the results . . . . . . . . .

Knot invariants and non-perturbative topological recursionQuantum Topology © European Mathematical Society All order asymptotics of hyperbolic knot invariants from non-perturbative

Knot polynomials, homological invariants topological strings Ramadevi Pichai Department of Physics, IIT Bombay Talk at STRINGS 2015 Plan: i Knot polynomials from Chern-Simons…

OBSERVABLES IN 3-DIMENSIONAL QUANTUM GRAVITY AND TOPOLOGICAL INVARIANTS J. Manuel García-Islas Comunicación Técnica No I-04-03/11-06-2004 (MB/CIMAT) Observables in 3-dimensional…

On topological invariants for algebraic cobordism 27th Nordic Congress of Mathematicians Celebrating the 100th anniversary of Institut Mittag-Leffler Gereon Quick NTNU joint…

Historical Review of Topological or Differential Invariants and Application to Engineering Sciences and Physics Philippe Durand Abstract—The notion of topological invariants…

Topological invariants of knots: three routes to the Alexander Polynomial Edward Long Manchester University MT4000 Double Project Supervisor: Grant Walker May 14, 2005 O…

PHYSICAL REVIEW A 89 043621 2014 Measuring Z2 topological invariants in optical lattices using interferometry F Grusdt123 D Abanin345 and E Demler3 1Department of Physics…

Preprint typeset in JHEP style - HYPER VERSION A Few Remarks On Topological Field Theory Gregory W Moore Abstract: Physics 695 Fall 2015 September 9 - December 14 2015 Version…

From the topological invariants to the edge states of topological insulators Victor Gurarie 1 • Integer quantum Hall effect • Fractional quantum Hall effect •

Topological Invariants of Stratified Maps Markus Banagl March 2004 OUTLINE: • The Beilinson-Bernstein-Deligne decompo- sition in algebraic geometry. • Cobordism of self-dual…