Temperley-Lieb Recoupling Theory and Invariants of 3-manifoldsThis 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. |
Contents
Introduction | 1 |
Recoupling Theory Via TemperleyLieb Algebra | 7 |
9 | 14 |
1 | 45 |
13 | 56 |
18 | 80 |
A 3Manifold Invariant by State Summation | 102 |
The Shadow World | 114 |
Bibliography | 140 |
Recognizing 3Manifolds | 160 |
22 | 163 |
Tables of Quantum Invariants | 185 |
31 | 191 |
45 | 204 |
51 | 212 |
The WittenReshetikhinTuraev Invariant | 129 |
Other editions - View all
Temperley-Lieb Recoupling Theory and Invariants of 3-manifolds Louis H. Kauffman,Sostenes Lins Limited preview - 1994 |
Temperley-Lieb Recoupling Theory and Invariants of 3-manifolds Louis H. Kauffman,Sóstenes L. Lins,Sóstenes Lins No preview available - 1994 |