Quantum Invariants: A Study Of Knots, 3-manifolds, And Their Sets
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€198.40
3-Manifold
A01=Tomotada Ohtsuki
Author_Tomotada Ohtsuki
Category=PBM
Category=PBPD
Category=PDE
Category=PHQ
Chern-Simons Theory
Chord Diagram
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Finite Type Invariant
Jacobi Diagram
Knot
Kontsevich Invariant
KZ Equation
LMO Invariant
Quantum Groups
Quantum Invariant
Vassiliev Invariant
Product details
- ISBN 9789810246754
- Publication Date: 21 Dec 2001
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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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.
