ENGLISH

Quantum Invariants: A Study of Knot, 3-Manifolds, and Their Sets

By Tomotada Ohtsuki

Book information

Publisher
World Scientific Publishing Company
Year
2002
ISBN
9810246757, 9789810246754
LCC
QC174.52.C66 O35 2002
Open Library ID
OL3581220M
Language
english
Format
PDF
Filesize
6 MB (6747577 bytes)
Series
Series on Knots and Everything 29
Edition
1st
Pages
508\508
Orientation
yes
Scanned
yes
Time added
2011-08-31 04:54:40

Description

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, in other words, 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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