34 citations · 36 across the 7 of their papers we have counts for
5 papers · 1 filter
Linear progress in fibres
Vaibhav Gadre, Sebastian Hensel
A fibered hyperbolic 3-manifold induces a map from the hyperbolic plane to hyperbolic 3-space, the respective universal covers of the fibre and the manifold. The induced map is an…
Foliations from left orders
Hyungryul Baik, Sebastian Hensel, Chenxi Wu
We describe a construction which takes as an input a left order of the fundamental group of a manifold, and outputs a (singular) foliation of this manifold which is analogous to a…
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…
(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…
Slim unicorns and uniform hyperbolicity for arc graphs and curve graphs
Sebastian Hensel, Piotr Przytycki, Richard C. H. Webb
We describe unicorn paths in the arc graph and show that they form 1-slim triangles and are invariant under taking subpaths. We deduce that all arc graphs are 7-hyperbolic. Conside…