Totally geodesic subgraphs of the pants complex

2006/08/30 by Javier Aramayona, Aramayona, Javier, Hugo Parlier +3
Computer Science · Mathematics · #05C12 #57M50 #Advanced Combinatorial Mathematics #Combinatorics (math.CO) #FOS: Mathematics #Geometric Topology (math.GT) #Geometry and complex manifolds #Metric Geometry (math.MG) #Topological and Geometric Data Analysis

paper · pdf · doi:10.48550/arxiv.math/0608752

openalex publication_date 2006/08/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Our main theorem asserts that every Farey graph embedded in the 1-skeleton of the pants complex of any finite type surface is totally geodesic.

Related

• Products of Farey graphs are totally geodesic in the pants graph
• Constructing convex planes in the pants complex
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• Stable Lengths on the pants graph are rational
• The Pants Complex Has Only One End