3 papers
math.GT2026
The pants graph as a combinatorial model for the Teichmüller space of a non-orientable surface
MichaÅ Stukow, BÅażej Szepietowski, Jakub Szmelter-Tomczuk
We study the relation between the pants graph of a non-orientable surface and that of its orientable double cover. Given a non-orientable surface with orientable double cover $…
math.GT2025
Automorphisms of the pants graph of a nonorientable surface
MichaÅ Stukow, BÅażej Szepietowski
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 gro…
math.GT2025
Geometric representations of the braid group on a nonorientable surface
MichaÅ Stukow, BÅażej Szepietowski
We classify homomorphisms from the braid group on strands to the pure mapping class group of a nonoriantable surface of genus . For and $g\le 2\lfloor{n/2}\rfloor+…