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.
- ISBN10 0691036411
- ISBN13 9780691036410
- Publish Date 31 July 1994 (first published 25 July 1994)
- Publish Status Out of Print
- Out of Print 8 October 2001
- Publish Country US
- Imprint Princeton University Press
- Format Hardcover
- Pages 312
- Language English
- URL https://press.princeton.edu/titles/5528.html