36 citations · 144 across the 26 of their papers we have counts for
5 papers · 1 filter
Large scale geometry of big mapping class groups
Kathryn Mann, Kasra Rafi
We study the large-scale geometry of mapping class groups of surfaces of infinite type, using the framework of Rosendal for coarse geometry of non locally compact groups. We give a…
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…
Reconstructing maps out of groups
Kathryn Mann, Maxime Wolff
We show that, in many situations, a homeomorphism of a manifold may be recovered from the (marked) isomorphism class of a finitely generated group of homeomorphisms contain…
Dynamical and cohomological obstructions to extending group actions
Kathryn Mann, Sam Nariman
We study cohomological obstructions to extending group actions on the boundary of a -manifold to a -action on when is diffeomorphic to a torus…
Structure theorems for actions of homeomorphism groups
Lei Chen, Kathryn Mann
We give general classification and structure theorems for actions of groups of homeomorphisms and diffeomorphisms on manifolds, reminiscent of classical results for actions of (loc…