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

Language EnglishEnglish
Book Hardback
Book Quantum Invariants: A Study Of Knots, 3-manifolds, And Their Sets Tomotada Ohtsuki
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
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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.

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About the book

Full name Quantum Invariants: A Study Of Knots, 3-manifolds, And Their Sets
Language English
Binding Book - Hardback
Date of issue 2001
Number of pages 508
EAN 9789810246754
ISBN 9810246757
Libristo code 05066885
Weight 1012
Dimensions 181 x 230 x 31
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