Functorial Knot Theory: Categories of Tangles, Coherence, Categorical Deformations, and Topological Invariants - Couverture rigide

Yetter, David N

 
9789810244439: Functorial Knot Theory: Categories of Tangles, Coherence, Categorical Deformations, and Topological Invariants
Couverture rigide
ISBN 10 : 9810244436 ISBN 13 : 9789810244439
Editeur : World Scientific Publishing Co Pte Ltd, 2001

Synopsis

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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Éditeur
World Scientific Publishing Co Pte Ltd
Date d'édition
2001
Langue
anglais
ISBN 10 
9810244436
ISBN 13 
9789810244439
Reliure
Relié
Nombre de pages
238
Coordonnées du fabricant
World Scientific Publishing
https://www.worldscientific.com/

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