6 papers · 1 filter
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 $…
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…
Geometric representations of the braid group on a nonorientable surface
Michał Stukow, Błażej 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+…
Generating the mapping class group of a nonorientable surface by three torsions
Marta Leśniak, Błażej Szepietowski
We prove that the mapping class group of a closed nonorientable surface of genus different than 4 is generated by three torsion elements. Moreover, for every…
A note on the curve complex of the 3-holed projective plane
Błażej Szepietowski
Let be a projective plane with holes. We prove that there is an exhaustion of the curve complex by a sequence of finite rigid sets. As a corollary, we obta…
On topological classification of finite cyclic actions on bordered surfaces
Grzegorz Gromadzki, Susumu Hirose, Błażej Szepietowski
In [Tohoku Math. J. 62 (2010), 45--53] the second author showed that, except for a few cases, the order of a cyclic group of self-homeomorphisms of a closed orientable topologi…