Temperley-Lieb Recoupling Theory and Invariants of 3-Manifolds (Am-134), Volume 134This 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