Automorphisms of the pants graph of a nonorientable surface

2025/07/16 by Stukow, Michał, Szepietowski, Błażej
#57K20 #FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.2507.12613

Abstract

We prove that, except in certain low-complexity cases, the automorphism group of the graph of pants decompositions of a nonorientable surface is isomorphic to the mapping class group of that surface.

Citations

• A note on the curve complex of the 3-holed projective plane
• Hyperbolic metrics, measured foliations and pants decompositions for non-orientable surfaces
• Simplicial embeddings between pants graphs
• The Weil-Petersson metric and volumes of 3-dimensional hyperbolic convex cores
• Pants Decompositions of Surfaces
• Automorphisms of the Complex of Curves

Related

• The automorphism group of the pants complex
• Spaces of Pants Decompositions for Surfaces of Infinite Type
• Automorphisms of the fine curve graph
• Automorphisms of the fine curve graph
• Automorphisms of the loop and arc graph of an infinite-type surface