An Introduction to Quantum and Vassiliev Knot Invariants

Table of Contents

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   Book Overview
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   Chapter 1 Knots
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   Chapter 2 Knot and Link Invariants
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   Chapter 3 Framed Links
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   Chapter 4 Braids and the Braid Group
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   Chapter 5 R-Matrix Representations of $$\mathfrak {B}_n$$
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   Chapter 6 Knot Invariants Through R-Matrix Representations of $$\mathfrak {B}_n$$
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   Chapter 7 Operator Invariants
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   Chapter 8 Ribbon Hopf Algebras
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    Chapter 9 Reshetikhin–Turaev Invariants
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    Chapter 10 The Fundamentals of Vassiliev Invariants
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    Chapter 11 Chord Diagrams
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    Chapter 12 Vassiliev Invariants of Framed Knots
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    Chapter 13 Jacobi Diagrams
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    Chapter 14 Lie Algebra Weight Systems
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    Chapter 15 q -Tangles
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    Chapter 16 Jacobi Diagrams on a 1-Manifold
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    Chapter 17 A Construction of the Kontsevich Invariant
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    Chapter 18 Universality Properties of the Kontsevich Invariant