A Temperley-Lieb category for 2-manifolds
Mathematical Physics
2007-11-30 v1 math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.0711.4777,
title = {A Temperley-Lieb category for 2-manifolds},
author = {Marcos Alvarez and Paul P. Martin},
journal= {arXiv preprint arXiv:0711.4777},
year = {2007}
}
Comments
48 pages, 20 figures