7 citations · 8 across the 5 of their papers we have counts for
5 papers
Mixed-platonic 3-manifolds
Eric Chesebro, Michelle Chu, Jason DeBlois +3
We introduce a class of cusped hyperbolic -manifolds that we call mixed-platonic, composed of regular ideal hyperbolic polyhedra of more than one type, which includes certain pr…
Relatively hyperbolic groups with planar boundaries
G. Christopher Hruska, Genevieve S. Walsh
In this article, we prove a version of Martin and Skora's conjecture that convergence groups on the -sphere are covered by Kleinian groups. Given a relatively hyperbolic group p…
Virtual algebraic fibrations of surface-by-surface groups and orbits of the mapping class group
Robert Kropholler, Stefano Vidussi, Genevieve Walsh
We show that a conjecture of Putman--Wieland, which posits the nonexistence of finite orbits for higher Prym representations of the mapping class group, is equivalent to the existe…
Coxeter groups, hyperbolic cubes, and acute triangulations
Sang-hyun Kim, Genevieve S. Walsh
Let be the right-angled Coxeter group defined by an abstract triangulation of . We show that is isomorphic to a hyperbolic right-angled reflection g…
Great circle links in the three-sphere
Genevieve Walsh
We investigate great circle links in the three-sphere, the class of links where each component is a great circle. Using the geometry of their complements, we classify such links up…