Temperley-Lieb Recoupling Theory and Invariants of 3-Manifolds (AM-134), Volume 134
(Paperback)
Publishing Details
Temperley-Lieb Recoupling Theory and Invariants of 3-Manifolds (AM-134), Volume 134
By (Author) Louis H. Kauffman
By (author) Sostenes Lins
Princeton University Press
Princeton University Press
4th October 1994
United States
Classifications
Professional and Scholarly
Non Fiction
Algebraic topology
514.223
Physical Properties
Paperback
312
Width 197mm, Height 254mm
425g
Description
This is a self-contained account of the 3-manifold invariants arising from the original Jones polynomial. These are the Witten-Reshetikhin-Turaev and the Turaev-Viro invariants. Starting from the Kauffman bracket model for the Jones polynomial and the diagrammatic Temperley-Lieb algebra, higher-order polynomial invariants of links are constructed and combined to form the 3-manifold invariants. The methods in this book are based on a recoupling theory for the Temperley-Lieb algebra. This recoupling theory is a q-deformation of the SU(2) spin networks of Roger Penrose.
Reviews
"This extremely useful volume provides a self-contained treatment of the construction of 3-manifold invariants directly from the combinatorics of the Jones polynomial in Kauffman's bracket formulation."--Mathematical Reviews
Author Bio
Louis H. Kauffman is Professor of Mathematics at the University of Illinois, Chicago. Sostenes Lins is Professor of Mathematics at the Universidade Federal de Pernambuco in Recife, Brazil.
