36 citations · 144 across the 26 of their papers we have counts for
5 papers · 1 filter
A characterization of Fuchsian actions by topological rigidity
Kathryn Mann, Maxime Wolff
We prove that any rigid representation of in with Euler number at least is necessarily semi-conjugate to a discrete, faithful representation in…
Rigidity and geometricity for surface group actions on the circle
Kathryn Mann, Maxime Wolff
We prove that rigid representations of the fundamental group of a surface into the group of oreintation-preserving homeomorphisms of the circle are geometric, thereby establishing…
Unboundedness of some higher Euler classes
Kathryn Mann
In this paper, we study Euler classes in groups of homeomorphisms of Seifert fibered 3-manifolds. We show that, in contrast to the familiar Euler class for $\mathrm{Homeo}_0(S^1)^δ…
Ping-pong configurations and circular orders on free groups
Dominique Malicet, Kathryn Mann, Cristobal Rivas +1
We discuss actions of free groups on the circle with "ping-pong" dynamics; these are dynamics determined by a finite amount of combinatorial data, analogous to Schottky domains or…
On the number of circular orders on a group
Adam Clay, Kathryn Mann, Cristóbal Rivas
We give a classification and complete algebraic description of groups allowing only finitely many (left multiplication invariant) circular orders. In particular, they are all solva…