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Quantum Invariants: A Study Of Knots, 3-manifolds, And Their Sets

Name: Quantum Invariants: A Study Of Knots, 3-manifolds, And Their Sets
Brand: World Scientific Publishing Co Pte Ltd
SKU: 05066885
Price: 164.99 EUR
Availability: InStock
Author: Tomotada Ohtsuki
ISBN: 9789810246754

Tomotada Ohtsuki

Language

English

Book Hardback

Libristo code: 05066885

Publishers World Scientific Publishing Co Pte Ltd, December 2001

An extensive and self-contained presentation of quantum and related invariants of knots and 3-manifo... Full description

Libristo code: 05066885

404 b

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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.