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math.GT2021
Finite rigid sets and the separating curve complex
Junzhi Huang, Bena Tshishiku
For each closed surface of genus , we find a finite subcomplex of the separating curve complex that is rigid with respect to incidence-preserving maps.
math.GR2021★ 1 cited
Convex-cocompact subgroups of the Goeritz group
Bena Tshishiku
We show that finitely-generated, purely pseudo-Anosov subgroups of the genus-2 Goeritz group are convex cocompact in the genus-2 mapping class group.
math.GT2021
Symmetries of exotic aspherical space forms
Mauricio Bustamante, Bena Tshishiku
We study finite group actions on smooth manifolds of the form , where is an exotic -sphere and is a closed aspherical space form. We give a classification result f…