Kathryn Mann

activity

20112023

most citedLarge scale geometry of big mapping class groups

36 citations · 144 across the 26 of their papers we have counts for

collaborators

Showing 2016Show all

4 papers · 1 filter

math.DS2016★ 7 cited

Strong distortion in transformation groups

Frédéric Le Roux, Kathryn Mann

We discuss boundedness and distortion in transformation groups. We show that the groups $Diff_{0}^{r} (R^{n})$ and $Diff^{r} (R^{n})$ have the strong distor…

math.GT2016

Large scale geometry of homeomorphism groups

Kathryn Mann, Christian Rosendal

Let M be a compact manifold. We show the identity component $Homeo_{0} (M)$ of the group of self-homeomorphisms of M has a well-defined quasi-isometry type, and study its lar…

math.DS2016

Group orderings, dynamics, and rigidity

Kathryn Mann, Cristobal Rivas

Let G be a countable group. We show there is a topological relationship between the space CO(G) of circular orders on G and the moduli space of actions of G on the circle; as well…

math.GR2016★ 1 cited

PL(M) admits no Polish group topology

Kathryn Mann

We show that the group of piecewise linear homeomorphisms of any compact PL manifold does not admit a Polish group topology. This uses a) new results on the relationship between to…