2007/11/29 by Marcos César Alvarez, Alvarez, Marcos, Paul Martin +1
Computer Science · Mathematics · #81R50 #82B20 #FOS: Physical sciences #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Mathematical Physics (math-ph) #Topological and Geometric Data Analysis
paper · pdf · doi:10.48550/arxiv.0711.4777
openalex publication_date 2007/11/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.