FUNCTORIAL KNOT THEORY: CATEGORIES OF TANGLES, COHERENCE, CATEGORICAL DEFORMATIONS AND TOPOLOGICAL INVARIANTS (Hardcover)

Language: English

Published by World Scientific Publishing Co Pte Ltd, Singapore, 2001

9810244436 / 9789810244439

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Hardcover. 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 structure 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. A study of functorial knot theory. It discusses the key ideas in the discovery of monoidal categories of tangles as central objects in low-dimensional topology. The focus then turns to the deformation theory of monoidal categories and the related deformation theory of monoidal functors. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability.…

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Title
FUNCTORIAL KNOT THEORY: CATEGORIES OF TANGLES, COHERENCE, CATEGORICAL DEFORMATIONS AND TOPOLOGICAL INVARIANTS (Hardcover)
Author
David N. Yetter
Publisher
World Scientific Publishing Co Pte Ltd, Singapore
Publication year
2001
Condition
new
Binding
Hardcover
Language
English
ISBN 10
9810244436
ISBN 13
9789810244439

AussieBookSeller

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