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Quantum Invariants: A Study of Knots, 3-Manifolds, and Their Sets

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Quantum Invariants: A Study of Knots, 3-Manifolds, and Their Sets - Ohtsuki, Tomotada
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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 ...

Quantum Invariants: A Study of Knots, 3-Manifolds, and Their Sets 2001, World Scientific Publishing Company, Singapore

ISBN-13: 9789810246754

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