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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
Submanifold projections and hyperbolicity in
Ursula Hamenstädt, Sebastian Hensel
The free splitting graph of a free group with generators is a hyperbolic -graph which has a geometric realization as a sphere graph in the connected…
math.GT2024
Towards the boundary of the fine curve graph
Jonathan Bowden, Sebastian Hensel, Richard Webb
The fine curve graph was introduced as a geometric tool to study homeomorphisms of surfaces. In this paper we study the Gromov boundary of this space and the local topology near po…