Science/Engineering Quantum Invariants: A Study of Knot, 3-Manifolds, and Their Sets (9810246757)

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Tomotada Ohtsuki "Quantum Invariants: A Study of Knot, 3-Manifolds, and Their Sets"

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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	Study Topological Quantum Field Theory and Four Manifolds Topological Quantum Field Theory and Four ManifoldsSpringer \| ISBN 1402030584 \|2005-04-29 \| PDF \| 224 pages \| 9.61 MBThe present book is the first of its kind in dealing with topological quantum field theories and their applications to top ...
	Science/Engineering Temperley-Lieb Recoupling Theory and Invariants of 3-Manifolds Temperley-Lieb Recoupling Theory and Invariants of 3-Manifolds (AM-134): Louis H. Kauffman, Sostenes Lins Princeton University Press \| ISBN: 0691036403 \| July 5, 1994 \| djvu (ocr) \| 312 pages \| 3.52 MB From the introduction: This monograph ...
	Study Quantum Groups and Knot Invariants Christian, Rosso, Marc, Turaev, Vladimir Kassel "Quantum Groups and Knot Invariants"Societe Mathematique De France \| English \| 1997 \| ISBN: 2856290558 \| 115 pages \| PDF \| 1,4 MBTo start download click HERE:No another mirrors, please! ...
	Science/Engineering Chern Numbers And Rozansky-witten Invariants Of Compact Hyper-kahler Manifolds Marc Nieper Wibkirchen, "Chern Numbers And Rozansky-witten Invariants Of Compact Hyper-kahler Manifolds" World Scientific Publishing Company \| 2004 \| ISBN: 9812388516 \| 172 pages \| PDF \| 5,5 MB This unique book deals with the theory of Ro ...
	Knots, Links, Braids and 3-Manifolds: An Introduction to the New Invariants in Low-Dimensional Topology Knots, Links, Braids and 3-Manifolds: An Introduction to the New Invariants in Low-Dimensional Topology Publisher: Amer Mathematical Society \| ISBN: 0821808982 \| edition 1997 \| PDF \| 250 pages \| 10,2 mbThis book is an introduction to the r ...
	Recursively Enumerable Sets and Degrees: A Study of Computable Functions and Computably Generated Sets Recursively Enumerable Sets and Degrees: A Study of Computable Functions and Computably Generated Sets By Robert I. SoarePublisher: Springer 1987 \| 437 Pages \| ISBN: 0387152997 \| DJVU \| 4 MBThe first part consists of an introduction t ...

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