4 papers
Rotation sets and actions on curves
Jonathan Bowden, Sebastian Hensel, Kathryn Mann +2
We study the action of the homeomorphism group of a surface on the fine curve graph . While the definition of parallels the c…
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…
stability of boundary actions and inequivalent Anosov flows
Jonathan Bowden, Kathryn Mann
We give a topological stability result for the action of the fundamental group of a compact manifold of negative curvature on its boundary at infinity: any nearby action of this gr…
5-dimensional Bourgeois contact structures are tight
Jonathan Bowden, Fabio Gironella, Agustin Moreno
Given a contact structure on a manifold together with a supporting open book decomposition, Bourgeois gave an explicit construction for a contact structure on $V \times \mathbb…