Wow! eBook
Quantum Invariants: A Study of Knot, 3-Manifolds, and Their Sets
Author(s):Tomotada Ohtsuki (Author)
- Publisher: World Scientific Pub Co Inc
- Publication Date: December 1, 2001
- Edition: First Edition
- Language: English
- Print length: 508 pages
- ISBN-10: 9810246757
- ISBN-13: 9789810246754
Book Description
Quantum and related invariants of knots and 3-manifolds are presented, and polynomial invariants of knots, such as the Jones and Alexander polynomials, are constructed as quantum invariants derived from representation of quantum groups and from the monodromy of solutions to the Knizhnik-Zamolodchikov equation. Discussion encompasses the Kontsevich invariants, the theory of Vassiliev invariants, the LMO invariants, and finite type invariants of 3-manifolds. The Chern- Simons field theory and the Wess-Zumino-Witten model are described as the physical background of the invariants. The author is affiliated with the Tokyo Institute of Technology, Japan. Annotation c. Book News, Inc., Portland, OR (booknews.com)
Editorial Reviews
Review
Ohtsuk's book is very readable, for he makes an attempt to present the material as straightforward as possible. -- Mathematical Reviews, 2003
This is a nicely written and useful book....presenting a lot of material ordered by a clear guiding line. --
Mathematics Abstracts, 2002
