Call Boomerang Books 1300 36 33 32

Description - Temperley-Lieb Recoupling Theory and Invariants of 3-Manifolds by Louis H. Kauffman

This book offers 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. The recoupling theory is developed in a purely combinatorial and elementary manner. Calculations are based on a reformulation of the Kirillov-Reshetikhin shadow world, leading to expressions for all the invariants in terms of state summations on 2-cell complexes. Extensive tables of the invariants are included. Manifolds in these tables are recognized by surgery presentations and by means of 3-gems (graph encoded 3-manifolds) in an approach pioneered by Sostenes Lins. The appendices include information about gems, examples of distinct manifolds with the same invariants, and applications to the Turaev-Viro invariant and to the Crane-Yetter invariant of 4-manifolds.

Buy Temperley-Lieb Recoupling Theory and Invariants of 3-Manifolds by Louis H. Kauffman from Australia's Online Independent Bookstore, Boomerang Books.

Book Details

ISBN: 9780691036403
ISBN-10: 0691036403
Format: Paperback
(254mm x 197mm x 16mm)
Pages: 312
Imprint: Princeton University Press
Publisher: Princeton University Press
Publish Date: 5-Jul-1994
Country of Publication: United States

Other Editions - Temperley-Lieb Recoupling Theory and Invariants of 3-Manifolds by Louis H. Kauffman

Book Reviews - Temperley-Lieb Recoupling Theory and Invariants of 3-Manifolds by Louis H. Kauffman

» Have you read this book? We'd like to know what you think about it - write a review about Temperley-Lieb Recoupling Theory and Invariants of 3-Manifolds book by Louis H. Kauffman and you'll earn 50c in Boomerang Bucks loyalty dollars (you must be a Boomerang Books Account Holder - it's free to sign up and there are great benefits!)

Write Review


Books By Louis H. Kauffman

Unified Field Mechanics by Louis H. Kauffman
Hardback, November 2015
$253.80
Physics of Reality by Louis H. Kauffman
Hardback, September 2013
$262.80
Mereon Matrix by Louis H. Kauffman
Hardback, May 2013
$138.56