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|a 9781400882533
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|a Kauffman, Louis H.
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| 245 |
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|a Temperley-Lieb Recoupling Theory and Invariants of 3-Manifolds (AM-134)
|h Elektronische Ressource
|c Sostenes Lins, Louis H. Kauffman
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| 260 |
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|a Princeton, NJ
|b Princeton University Press
|c 2016, [2016]©1994
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| 300 |
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|a online resource
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| 653 |
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|a Invariants
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| 653 |
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|a Knot theory
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| 653 |
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|a Three-manifolds (Topology)
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| 700 |
1 |
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|a Lins, Sostenes
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| 041 |
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7 |
|a eng
|2 ISO 639-2
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| 989 |
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|b GRUYMPG
|a DeGruyter MPG Collection
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| 490 |
0 |
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|a Annals of Mathematics Studies
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| 500 |
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|a Mode of access: Internet via World Wide Web
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| 028 |
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|a 10.1515/9781400882533
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|t Princeton eBook Package Archive 1931-1999
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| 773 |
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|t Princeton Annals of Mathematics Backlist eBook Package
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| 856 |
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|u https://www.degruyter.com/doi/book/10.1515/9781400882533
|x Verlag
|3 Volltext
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|a 514/.224
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| 520 |
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|a 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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