{"product_id":"temperley-lieb-recoupling-theory-and-invariants-of-3-manifolds","title":"Temperley-Lieb Recoupling Theory and Invariants of 3-Manifolds","description":"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.\nThe 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.","brand":"Princeton University Press","offers":[{"title":"Default Title","offer_id":54222046658904,"sku":"9780691036403","price":127.99,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0278\/1295\/4195\/files\/9780691036403.jpg?v=1771320615","url":"https:\/\/agendabookshop.com\/products\/temperley-lieb-recoupling-theory-and-invariants-of-3-manifolds","provider":"Agenda Bookshop","version":"1.0","type":"link"}