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Quantum Invariants: A Study Of Knots, 3-manifolds, And Their Sets on Hardback by Tomotada Ohtsuki
Quantum Invariants: A Study Of Knots, 3-manifolds, And Their Sets on Hardback by Tomotada Ohtsuki
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Quantum Invariants: A Study Of Knots, 3-manifolds, And Their Sets

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Description

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.
Release date NZ
December 21st, 2001
Audiences
  • Postgraduate, Research & Scholarly
  • Professional & Vocational
Pages
508
Dimensions
181x230x31
ISBN-13
9789810246754
Product ID
3353135

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