36 citations · 144 across the 26 of their papers we have counts for
4 papers · 1 filter
Orbit equivalences of -covered Anosov flows and hyperbolic-like actions on the line
Thomas Barthelmé, Kathryn Mann
We prove a rigidity result for group actions on the line whose elements have what we call "hyperbolic-like" dynamics. Using this, we give a spectral rigidity theorem for $\mathbb{R…
On the bordism group for group actions on the torus
Kathryn Mann, Sam Nariman
In this short note, we study the bordism problem for group actions on the torus and give examples of groups acting on the torus by diffeomorphisms isotopic to the identity that can…
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…