A Temperley-Lieb category for 2-manifolds

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Guided by consideration of problems in 2 and 3 dimensional lattice model computation, we are led to define a number of new categories, and functors between these categories and the partition category, culminating in the introduction of two categories generalising the Temperley-Lieb category. We show how to compute practically in these categories, by giving a combinatorial realisation of their (topological) construction.
48 pages, 20 figures

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Mathematical Physics, 81R50; 82B20

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http://salesiana.dossiersoluciones.com/handle/123456789/143170

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0711.4777
 http://arxiv.org/abs/0711.4777

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arXiv