6 papers
Approximating stable translation lengths on fine curve graphs
Federica Fanoni, Sebastian Hensel, Frédéric Le Roux
We study the stable translation length of homeomorphisms of a surface acting on the fine nonseparating curve graph and compare it to the stable translation lengths of its finite ap…
Rotation sets and axes in the fine curve graph for torus homeomorphisms
Sebastian Hensel, Frédéric Le Roux
We expand the dictionary between the action of a torus homeomorphism on the fine curve graph and its rotation set. More precisely, we show that the fixed points at infinity of a lo…
Problems on handlebody groups
Naomi Andrew, Sebastian Hensel, Sam Hughes +1
We survey a number of constructions and open problems related to the handlebody group, with a focus on recent trends in geometric group theory, (co)homological properties, and its…
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.
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…
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…