A Temperley-Lieb category for 2-manifolds

Details A Temperley-Lieb category for 2-manifolds A Temperley-Lieb category for 2-manifolds

2007-11-29

arxiv.org/abs/0711.4777v1

Physics

Mathematical Physics

48 pages, 20 figures

Scientific paper

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.

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