7 citations · 10 across the 4 of their papers we have counts for
5 papers · 1 filter
Thick-skinned 3-manifolds
Richard P. Kent, Yair N. Minsky
We show that if the totally geodesic boundary of a compact hyperbolic 3-manifold M has a large collar of depth d, then the diameter of the skinning map of M is no more than A exp(-…
A geometric criterion to be pseudo-Anosov
Richard P. Kent, Christopher J. Leininger
We establish a criterion for certain mapping classes of a surface homeomorphisms to be pseudo-Anosov in terms of the geometry of hyperbolic 3-manifolds and Gromov-hyperbolic surfac…
Geometric limits of knot complements, II: Graphs determined by their complements
Richard P. Kent, Juan Souto
We prove that there are compact submanifolds of the 3-sphere whose interiors are not homeomorphic to any geometric limit of hyperbolic knot complements.
Trees and mapping class groups
Richard P. Kent, Christopher J. Leininger, Saul Schleimer
There is a forgetful map from the mapping class group of a punctured surface to that of the surface with one fewer puncture. We prove that finitely generated purely pseudo-Anosov s…
Shadows of mapping class groups: capturing convex cocompactness
Richard P. Kent, Christopher J. Leininger
We strengthen the analogy between convex co-compact Kleinian groups and convex co-compact subgroups of the mapping class group of a surface (in the sense of B. Farb and L. Mosher).