Quantum Invariants: A Study Of Knots, 3-manifolds, And Their Sets Hardback
by Tomotada (Kyoto Univ, Japan) Ohtsuki
Part of the Series on Knots & Everything series
Hardback
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.
Information
-
Available to Order - This title is available to order, with delivery expected within 2 weeks
- Format:Hardback
- Pages:508 pages
- Publisher:World Scientific Publishing Co Pte Ltd
- Publication Date:21/12/2001
- Category:
- ISBN:9789810246754
Information
-
Available to Order - This title is available to order, with delivery expected within 2 weeks
- Format:Hardback
- Pages:508 pages
- Publisher:World Scientific Publishing Co Pte Ltd
- Publication Date:21/12/2001
- Category:
- ISBN:9789810246754
