4 papers · 1 filter
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.
Surface groups are frequently faithful
Jason DeBlois, Richard P. Kent
We show the set of faithful representations of a closed orientable hyperbolic surface group is dense in both irreducible components of the PSL(2,K) representation variety, where K…
Totally geodesic boundaries of knot complements
Richard P. Kent
Given a compact orientable 3-manifold M whose boundary is a hyperbolic surface and a simple closed curve C in its boundary, every knot in M is homotopic to one whose complement adm…