click to view more

Functorial Knot Theory: Categories of Tangles, Coherence, Categorical Deformations and Topological I

by Yetter, David N

$97.59

List Price: $109.00
Save: $11.41 (10%)
add to favourite
  • In Stock soon, order now to reserve your copy.
  • FREE DELIVERY
  • 24/24 Online
  • Yes High Speed
  • Yes Protection

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.

Last updated on

Product Details

  • Apr 18, 2001 Pub Date:
  • 9810244436 ISBN-10:
  • 9789810244439 ISBN-13:
  • English Language