3 papers
math.GT2017
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…
math.GT2016
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…
math.GT1999
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…