ISBN: 9789810244439 - Functorial Knot Theory: Categories of Tangles, Coherence, Categorical Deformations and Topological Invariants: 26 (series on Knots and Everything) (15 results)

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Published by World Scientific Publishing Co Pte Ltd, SG, 2001
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Hardback. Condition: New. Illustrated. 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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Hardcover. Condition: Brand New. illustrated edition. 230 pages. 9.25x6.50x0.75 inches. In Stock.

Language: English
Published by World Scientific Publishing Co Pte Ltd, SG, 2001
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Hardback. Condition: New. Illustrated. 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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Condition: gut. 2001. FUNCTORIAL KNOT THEORY (Series on Knots and Everything, Band 26) In deutscher Sprache. pages.

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Gebunden. Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. InhaltsverzeichnisPart 1 Knots and categories: monoidal categories, functors and natural transformations a digression on algebras knot polynomials smooth tangles and PL tangles a little enriched category theory. Part 2 Deformations: .…

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Buch. Condition: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - 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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Buch. Condition: Neu. FUNCTORIAL KNOT THEORY | Yetter David N | Buch | Gebunden | Englisch | 2001 | World Scientific | EAN 9789810244439 | Verantwortliche Person für die EU: Libri GmbH, Europaallee 1, 36244 Bad Hersfeld, gpsr[at]libri[dot]de | Anbieter: preigu Print on Demand.