FUNCTORIAL KNOT THEORY

Yetter David N

ISBN 10: 9810244436 / ISBN 13: 9789810244439

Published by World Scientific, 2001

About this Item

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.

Seller Inventory # 134421782

Bibliographic Details

• Title: FUNCTORIAL KNOT THEORY
• Publisher: World Scientific
• Publication Date: 2001
• Language: English
• ISBN 10: 9810244436
• ISBN 13: 9789810244439
• Binding: Buch
• Condition: Neu
• Dimensions: 235W x 157H x 17D millimeters 235 millimeters width by 157 millimeters height by 17 millimeters depth
• Weight: 501 grams
• Seller catalogs:
  • Bücher

About this title

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.