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FUNCTORIAL KNOT THEORY (Series on Knots and Everything, Band 26) - Hardcover

Yetter David N

 
9789810244439: FUNCTORIAL KNOT THEORY (Series on Knots and Everything, Band 26)
Hardcover
ISBN 10: 9810244436 ISBN 13: 9789810244439
Verlag: World Scientific, 2001

Inhaltsangabe

Almost since the advent of skein-theoretic invariants of knots and links (the Jones, HOMFLY, and Kauffman polynomials), the important role of categories of tangles in the connection between low-dimensional topology and quantum-group theory has been recognized. The rich categorical structures naturally arising from the considerations of cobordisms have suggested functorial views of topological field theory. This book begins with a detailed exposition of the key ideas in the discovery of monoidal categories of tangles as central objects of study in low-dimensional topology. The focus then turns to the deformation theory of monoidal categories and the related deformation theory of monoidal functors, which is a proper generalization of Gerstenhaber's deformation theory of associative algebras. These serve as the building blocks for a deformation theory of braided monoidal categories which gives rise to sequences of Vassiliev invariants of framed links, and clarify their interrelations.

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Verlag
World Scientific
Erscheinungsdatum
2001
Sprache
Englisch
ISBN 10 
9810244436
ISBN 13 
9789810244439
Einband
Gebundene Ausgabe
Anzahl der Seiten
238
Kontakt zum Hersteller
preigu GmbH & Co. KG
mail@preigu.de

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