Ebook Info
- Published: 2001
- Number of pages: 508 pages
- Format: PDF
- File Size: 18.10 MB
- Authors: Tomotada Ohtsuki
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.
User’s Reviews
Editorial Reviews: Review Ohtsuk’s book is very readable, for he makes an attempt to present the material as straightforward as possible. — Mathematical Reviews, 2003This is a nicely written and useful book….presenting a lot of material ordered by a clear guiding line. — Mathematics Abstracts, 2002
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Keywords
Free Download Quantum Invariants: A Study of Knot, 3-Manifolds, and Their Sets 1st Edition in PDF format
Quantum Invariants: A Study of Knot, 3-Manifolds, and Their Sets 1st Edition PDF Free Download
Download Quantum Invariants: A Study of Knot, 3-Manifolds, and Their Sets 1st Edition 2001 PDF Free
Quantum Invariants: A Study of Knot, 3-Manifolds, and Their Sets 1st Edition 2001 PDF Free Download
Download Quantum Invariants: A Study of Knot, 3-Manifolds, and Their Sets 1st Edition PDF
Free Download Ebook Quantum Invariants: A Study of Knot, 3-Manifolds, and Their Sets 1st Edition