Jonathan Bowden

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math.DS2021

Rotation sets and actions on curves

Jonathan Bowden, Sebastian Hensel, Kathryn Mann +2

We study the action of the homeomorphism group of a surface $S$ on the fine curve graph $C^{†} (S)$ . While the definition of $C^{†} (S)$ parallels the c…

math.DS2019

$C^{0}$ 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…

Rotation sets and actions on curves

C0 stability of boundary actions and inequivalent Anosov flows

$C^{0}$ stability of boundary actions and inequivalent Anosov flows