Temperley-Lieb Recoupling Theory and Invariants of 3-Manifolds (AM-134) by Louis H. Kauffman, Sostenes Lins
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ISBN: 9780691036403
Princeton University Press, 5 July 1994
Paperback, 312 pages
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.