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Quantum Groups and Knot Invariants

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This book provides a concise introduction to quantum groups, braided monoidal categories, and quantum invariants of knots and of three-dimensional manifolds. The exposition emphasizes the newly discovered deep relationships between these areas.

Author(s): Christian Kassel; Marc Rosso; Vladimir G. Turaev
Series: Panoramas & Synthèses 5
Publisher: SMF
Year: 1997

Language: English
Pages: 115

Contents
Introduction
1 The Yang-Baxter Equation and Braid Group Representations
2 Hopf Algebras and Monoidal Categories
3 Drinfeld’s Quantum Double
4 The Quantized Enveloping Algebra
5 The Jones Polynomial and Skein Categories
6 From Ribbon Categories to Topological
Invariants of Links and 3-manifolds
7 The Representation Theory
8 Vassiliev Invariants of Links
9 Advanced Topics
Guide to the Literature
Bibliography
Index