Automorphisms of the Pants Graph of a Nonorientable Surface

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.

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Publication Details

Journal
Transformation Groups
Published
2026-09-18
DOI
https://doi.org/10.1007/s00031-026-09991-x
Primary Topic
Computational Geometry and Mesh Generation
Type
article
Field-Weighted Citation Impact
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article

Automorphisms of the Pants Graph of a Nonorientable Surface

Michał Stukow, Błażej Szepietowski
Transformation Groups
Computational Geometry and Mesh Generation
article

Automorphisms of the Pants Graph of a Nonorientable Surface

Michał Stukow, Błażej Szepietowski
article en

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.

Transformation Groups
University of Gdańsk (PL), Institute of Mathematics (PL)
Openalex Percentile: Top 97%
Computational Geometry and Mesh Generation
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Automorphisms of the Pants Graph of a Nonorientable Surface — Michał Stukow, Błażej Szepietowski · Transformation Groups (2026) | TGRS Research Map | TGRS