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math.GT2024
A big mapping class acting parabolically on the nonseparating curve graph
Federica Fanoni, Sebastian Hensel
We use fine curve graph tools to prove that there exist parabolic isometries of graphs of curves associated to surfaces of infinite type.
math.GT2024
Orthosystoles and orthokissing numbers
Ara Basmajian, Federica Fanoni
For hyperbolic surfaces with geodesic boundary, we study the orthosystole, i.e. the length of a shortest essential arc from the boundary to the boundary. We recover and extend work…