Item description for Quantum Invariants: A Study of Knot, 3-Manifolds, and Their Sets by Tomotada Ohtsuki & Ohtsuki Tomotada...
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 KnizhnikZamolodchikov 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 ChernSimons field theory and the WessZuminoWitten model are described as the physical background of the invariants.
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Studio: World Scientific Publishing Company
Est. Packaging Dimensions: Length: 1.25" Width: 6.5" Height: 9.75" Weight: 2.2 lbs.
Publisher World Scientific Publishing Company
ISBN 9810246757 ISBN13 9789810246754