{"product_id":"temperley-lieb-recoupling-theory-and-invariants-louis-h-kauffman-9780691036403","title":"Temperley-Lieb Recoupling Theory and Invariants of 3-Manifolds (Am-134), Volume 134","description":"\u003cp\u003eThis 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. \u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e 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. The 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.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Louis H. Kauffman, Sostenes Lins\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 0691036403\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9780691036403\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Princeton University Press\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 07\/25\/1994\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 312\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 0.90lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.23h x 6.11w x 0.78d","brand":"Louis H. Kauffman","offers":[{"title":"Paperback","offer_id":43925602828543,"sku":"9780691036403","price":125.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/products\/img_47a87797-655c-44fa-bd7a-5a1efce92a00.jpg?v=1681078248","url":"https:\/\/www.whiterainbookhouse.com\/products\/temperley-lieb-recoupling-theory-and-invariants-louis-h-kauffman-9780691036403","provider":"WR Book House","version":"1.0","type":"link"}