3 papers
math.GT2026
The pants graph as a combinatorial model for the Teichmüller space of a non-orientable surface
Michał Stukow, Błażej 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
Michał Stukow, Błażej 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.GT2016
Subgroups of the Torelli group generated by two symmetric bounding pair maps
Michał Stukow
Let {a,b} and {c,d} be two pairs of bounding simple closed curves on an oriented surface which intersect nontrivialy. We prove that if these pairs are invariant under the action of…