34 citations · 48 across the 13 of their papers we have counts for
5 papers · 2 filters
Quasi-morphisms on surface diffeomorphism groups
Jonathan Bowden, Sebastian Hensel, Richard Webb
We show that the identity component of the group of diffeomorphisms of a closed oriented surface of positive genus admits many unbounded quasi-morphisms. As a corollary, we also de…
Path-connectivity of the set of uniquely ergodic and cobounded foliations
Jon Chaika, Sebastian Hensel
We show that for a closed surface of genus at least 5, or a surface of genus at least 2 with at least one marked point, the set of uniquely ergodic foliations and the set of coboun…
Big mapping class groups acting on homology
Federica Fanoni, Sebastian Hensel, Nicholas G. Vlamis
We study the action of (big) mapping class groups on the first homology of the corresponding surface. We give a precise characterization of the image of the induced homology repres…
Handlebody Bundles and Polytopes
Sebastian Hensel, Dawid Kielak
We construct examples of fibered three-manifolds with first Betti number at least 2 and with fibered faces all of whose monodromies extend to a handlebody.
(Un)distorted stabilisers in the handlebody group
Sebastian Hensel
We study geometric properties of stabilisers in the handlebody group. We find that stabilisers of meridians are undistorted, while stabilisers of primitive curves or annuli are exp…