1 citations · 3 across the 5 of their papers we have counts for
6 papers
Kleinian groups with discrete length spectrum
Richard D. Canary, Christopher J. Leininger
We characterize finitely generated torsion-free Kleinian groups for which the real length spectrum (without multiplicities) is discrete.
Abstract commensurators of braid groups
Christopher J. Leininger, Dan Margalit
Let B_n be the braid group on n strands, with n at least 4, and let Mod(S) be the extended mapping class group of the sphere with n+1 punctures. We show that the abstract commensur…
A combination theorem for Veech subgroups of the mapping class group
Christopher J. Leininger, Alan W. Reid
In this paper we prove a combination theorem for Veech subgroups of the mapping class group analogous to the first Klein-Maskit combination theorem for Kleinian groups in which two…
Small curvature surfaces in hyperbolic 3-manifolds
Christopher J. Leininger
In a paper of Menasco and Reid, it is conjectured that there exist no hyperbolic knots in S^3 for which the complement contains a closed embedded totally geodesic surface. In this…
Equivalent curves in surfaces
Christopher J. Leininger
We consider various equivalence relations on the set of homotopy classes of curves on a hyperbolic surface based on topological, algebraic, and geometric structures. The purpose of…
Compressing totally geodesic surfaces
C. J. Leininger
In this paper we prove that one can find surgeries arbitrarily close to infinity in the Dehn surgery space of the figure eight knot complement for which some immersed totally geode…