Temperley-Lieb Recoupling Theory and Invariants of 3-Manifolds (AM-134), Volume 134 - Annals of Mathematics Studies (Paperback)
  • Temperley-Lieb Recoupling Theory and Invariants of 3-Manifolds (AM-134), Volume 134 - Annals of Mathematics Studies (Paperback)
zoom

Temperley-Lieb Recoupling Theory and Invariants of 3-Manifolds (AM-134), Volume 134 - Annals of Mathematics Studies (Paperback)

(author), (author)
£95.00
Paperback 312 Pages / Published: 11/08/1994
  • We can order this

Usually dispatched within 3 weeks

  • This item has been added to your basket
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.

Publisher: Princeton University Press
ISBN: 9780691036403
Number of pages: 312
Weight: 425 g
Dimensions: 254 x 197 x 16 mm

You may also be interested in...

Galois Theory
Added to basket
Linear Algebra
Added to basket
£43.99
Hardback
Edexcel Award in Algebra Level 3 Workbook
Added to basket
The Four Pillars of Geometry
Added to basket
Surreal Numbers
Added to basket
£14.99
Hardback
Schaum's Outline of Abstract Algebra
Added to basket
An Introduction to the Theory of Numbers
Added to basket
Algebra I Essentials For Dummies
Added to basket
Elliptic Tales
Added to basket
£13.99
Paperback
Linear Algebra
Added to basket
£31.49
Paperback
Graph Theory As I Have Known It
Added to basket

Please sign in to write a review

Your review has been submitted successfully.