Temperley-Lieb Recoupling Theory and Invariants of 3-Manifolds 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Kauffman, Louis H. 作者

Princeton Univ Pr

译者

1994-7 出版日期

308 页数

$ 101.70 价格

Pap

Annals of Mathematics Studies 丛书系列

9780691036403 图书编码

Temperley-Lieb Recoupling Theory and Invariants of 3-Manifolds 在线电子书图书标签: topology RT AM

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Temperley-Lieb Recoupling Theory and Invariants of 3-Manifolds 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

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Temperley-Lieb Recoupling Theory and Invariants of 3-Manifolds 在线电子书 pdf 下载 txt下载 epub 下载 mobi 在线电子书下载

Temperley-Lieb Recoupling Theory and Invariants of 3-Manifolds 在线电子书图书描述

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. 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.

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