5 papers · 1 filter
Quotients of the curve complex
Joseph Maher, Hidetoshi Masai, Saul Schleimer
We consider three kinds of quotients of the curve complex which are obtained by coning off uniformly quasi-convex subspaces: symmetric curve sets, non-maximal train track sets, and…
Random walks, WPD actions, and the Cremona group
Joseph Maher, Giulio Tiozzo
We study random walks on groups of isometries of non-proper delta-hyperbolic spaces under the assumption that at least one element in the group satisfies Bestvina-Fujiwara's WPD co…
Morse functions to graphs and topological complexity for hyperbolic 3-manifolds
Diane Hoffoss, Joseph Maher
Scharlemann and Thompson define the width of a 3-manifold M as a notion of complexity based on the topology of M. Their original definition had the property that the adjacency rela…
The stratum of random mapping classes
Vaibhav Gadre, Joseph Maher
We consider random walks on the mapping class group whose support generates a non-elementary subgroup and contains a pseudo-Anosov map whose invariant Teichmüller geodesic is in th…
Virtually embedded boundary slopes
Joseph Maher
We show that for certain hyperbolic 3-manifolds, all boundary slopes are slopes of immersed incompressible surfaces, covered by incompressible embeddings in some finite cover. The…