Functorial Knot Theory: Categories Of Tangles, Coherence, Categorical Deformations And Topological Invariants PDF
by Yetter David N Yetter
Part of the Series On Knots And Everything series
Description
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.
Information
-
Download - Immediately Available
- Format:PDF
- Pages:236 pages
- Publisher:World Scientific Publishing Company
- Publication Date:16/04/2001
- Category:
- ISBN:9789814492249
Information
-
Download - Immediately Available
- Format:PDF
- Pages:236 pages
- Publisher:World Scientific Publishing Company
- Publication Date:16/04/2001
- Category:
- ISBN:9789814492249
