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(Ebook) Quantum Invariants: A Study of Knot, 3-Manifolds, and Their Sets by Tomotada Ohtsuki ISBN 9810246757

  • SKU: EBN-2116624
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Instant download (eBook) Quantum Invariants: A Study of Knot, 3-Manifolds, and Their Sets after payment.
Authors:Tomotada Ohtsuki
Pages:508 pages.
Year:2002
Editon:1st
Publisher:World Scientific Publishing Company
Language:english
File Size:6.43 MB
Format:pdf
ISBNS:9810246757
Categories: Ebooks

Product desciption

(Ebook) Quantum Invariants: A Study of Knot, 3-Manifolds, and Their Sets by Tomotada Ohtsuki ISBN 9810246757

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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