21 citations · 46 across the 12 of their papers we have counts for
3 papers · 1 filter
Graphs of curves on infinite-type surfaces with mapping class group actions
Matthew Gentry Durham, Federica Fanoni, Nicholas G. Vlamis
We study when the mapping class group of an infinite-type surface admits an action with unbounded orbits on a connected graph whose vertices are simple closed curves on . We…
Basmajian-type inequalities for maximal representations
Federica Fanoni, Maria Beatrice Pozzetti
For suitable metrics on the locally symmetric space associated to a maximal representation, we prove inequalities between the length of the boundary and the lengths of orthogeodesi…
Mapping class group orbits of curves with self-intersections
Patricia Cahn, Federica Fanoni, Bram Petri
We study mapping class group orbits of homotopy and isotopy classes of curves with self-intersections. We exhibit the asymptotics of the number of such orbits of curves with a boun…