11 citations · 14 across the 4 of their papers we have counts for
6 papers · 1 filter
There are no exotic actions of diffeomorphism groups on 1-manifolds
Lei Chen, Kathryn Mann
Let be a manifold, a 1-dimensional manifold. Assuming , we show that any nontrivial homomorphism has a standard…
Automatic continuity for homeomorphism groups of noncompact manifolds
Kathryn Mann
We extend the proof of automatic continuity for homeomorphism groups of manifolds to non-compact manifolds and manifolds with marked points and their mapping class groups. Specific…
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…
Rigidity of mapping class group actions on
Kathryn Mann, Maxime Wolff
The mapping class group of a surface with one marked point can be identified with an index two subgroup of . For a surface of genus $g…
Large scale geometry of homeomorphism groups
Kathryn Mann, Christian Rosendal
Let M be a compact manifold. We show the identity component of the group of self-homeomorphisms of M has a well-defined quasi-isometry type, and study its lar…
Diffeomorphism groups of balls and spheres
Kathryn Mann
In this paper we discuss the relationship between groups of diffeomorphisms of spheres and balls. We survey results of a topological nature and then address the relationship as abs…