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Topology and Condensed Matter Physics

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Cover of 'Topology and Condensed Matter Physics'

Table of Contents

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    Book Overview
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    Chapter 1 Overview of Topological Ideas in Condensed Matter Physics
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    Chapter 2 Set Topology
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    Chapter 3 Homotopy theory
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    Chapter 4 Homology
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    Chapter 5 Differential Topology and Differential Geometry
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    Chapter 6 Vector Bundles
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    Chapter 7 Special Topics: A Crash Course on Knots
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    Chapter 8 Special Topics: A Short Course on Group Theory
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    Chapter 9 Use of Topology in physical problems
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    Chapter 10 What is dimension?
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    Chapter 11 Quantum Geometry and Topology
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    Chapter 12 Topology, geometry and quantum interference in condensed matter physics
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    Chapter 13 Dirac quasiparticles and Majorana modes in condensed matter systems
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    Chapter 14 Vertex Models and Knot invariants
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    Chapter 15 Concepts of polymer statistical topology
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    Chapter 16 Introduction to abelian and non-abelian anyons
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    Chapter 17 An introduction to Quantum Spin Liquids
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    Chapter 18 Topological aspects of quantum information processing
Attention for Chapter 5: Differential Topology and Differential Geometry
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