10 citations · 16 across the 8 of their papers we have counts for
9 papers
Lipschitz constants to curve complexes
Vaibhav Gadre, Eriko Hironaka, Richard P. Kent +1
We determine the asymptotic behavior of the optimal Lipschitz constant for the systole map from Teichmuller space to the curve complex.
Pseudo-Anosov subgroups of fibered 3-manifold groups
Spencer Dowdall, Richard P. Kent, Christopher J. Leininger
Let X be a hyperbolic surface and H the fundamental group of a hyperbolic 3-manifold that fibers over the circle with fiber X. Using the Birman exact sequence, H embeds in the mapp…
A fake Schottky group in Mod(S)
Richard P. Kent, Christopher J. Leininger
We use the classical construction of Schottky groups in hyperbolic geometry to produce non-Schottky subgroups of the mapping class group.
Intersections and joins of free groups
Richard P. Kent
Let H and K be subgroups of a free group of ranks h and k \geq h. We prove the following strong form of Burns' inequality: rank(H \cap K) - 1 \leq 2(h-1)(k-1) - (h-1)(rank(H \vee K…
Uniform convergence in the mapping class group
Richard P. Kent, Christopher J Leininger
We characterize convex cocompact subgroups of the mapping class group of a surface in terms of uniform convergence actions on the zero locus of the limit set. We also construct sub…
Subgroups of the mapping class group from the geometrical viewpoint
Richard P. Kent, Christopher J. Leininger
We survey the analogy between Kleinian groups and subgroups of the mapping class group of a surface.