English

Automorphisms of the pants graph of a nonorientable surface

Geometric Topology 2025-07-18 v1

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.

Keywords

Cite

@article{arxiv.2507.12613,
  title  = {Automorphisms of the pants graph of a nonorientable surface},
  author = {Michał Stukow and Błażej Szepietowski},
  journal= {arXiv preprint arXiv:2507.12613},
  year   = {2025}
}