2007/02/27 by Javier Aramayona, Aramayona, Javier, Hugo Parlier +3
Computer Science · Mathematics · #05C12 #57M50 #Advanced Combinatorial Mathematics #FOS: Mathematics #Geometric Topology (math.GT) #Point processes and geometric inequalities #Topological and Geometric Data Analysis
paper · pdf · doi:10.48550/arxiv.math/0702837
openalex publication_date 2007/02/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Our main theorem identifies a class of totally geodesic subgraphs of the 1-skeleton of the pants complex, each isomorphic to the product of two Farey graphs. We deduce the existence of many convex planes in the 1-skeleton of the pants complex.