36 citations · 144 across the 26 of their papers we have counts for
34 papers
Anosov flows with the same periodic orbits
Thomas Barthelmé, Sergio Fenley, Kathryn Mann
In [Orbit equivalences of pseudo-Anosov flows, arXiv:2211.10505], it was proved that transitive pseudo-Anosov flows on any closed 3-manifold are determined up to orbit equivalence…
Orbit equivalences of pseudo-Anosov flows
Thomas Barthelmé, Steven Frankel, Kathryn Mann
We prove a classification theorem for transitive Anosov and pseudo-Anosov flows on closed 3-manifolds, up to orbit equivalence. In many cases, flows on a 3-manifold are complet…
On the action of the homology sphere group on its space of left-orders
Kathryn Mann, Michele Triestino
We show that the action of the group on its space of left-orders has exactly two minimal components.
Two results on end spaces of infinite type surfaces
Kathryn Mann, Kasra Rafi
We answer two questions about the topology of end spaces of infinite type surfaces and the action of the mapping class group that have appeared in the literature. First, we give ex…
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…
Stability for hyperbolic groups acting on boundary spheres
Kathryn Mann, Jason Fox Manning
A hyperbolic group acts by homeomorphisms on its Gromov boundary. We show that if this boundary is a topological n-sphere the action is topologically stable in the dynamical sense:…