ENGLISH

Quantum Invariants of Knots and 3-Manifolds

By Tomotada Ohtsuki

Book information

Publisher
World Scientific Publishing Company
Year
2001
ISBN
9789810246754, 9810246757
LCC
QC174.52.C66 O35 2002
Open Library ID
OL3581220M
Language
english
Format
DJVU
Filesize
12 MB (12869730 bytes)
Edition
1st
Pages
585\585
Library
mexmat
Time added
2009-07-20 03:45:11

Description

This book provides an extensive and self-contained presentation of quantum and related invariants of knots and 3-manifolds. Polynomial invariants of knots, such as the Jones and Alexander polynomials, are constructed as quantum invariants, i.e. invariants derived from representations of quantum groups and from the monodromy of solutions to the Knizhnik–Zamolodchikov equation. With the introduction of the Kontsevich invariant and the theory of Vassiliev invariants, the quantum invariants become well-organized. Quantum and perturbative invariants, the LMO invariant, and finite type invariants of 3-manifolds are discussed. The Chern–Simons field theory and the Wess–Zumino–Witten model are described as the physical background of the invariants.

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