3 papers
math.GR2024
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…
math.GT2024
Coarse Alexander duality for pairs and applications
G. Christopher Hruska, Emily Stark, Hung Cong Tran
For a group (of type ) acting properly on a coarse Poincaré duality space , Kapovich-Kleiner introduced a coarse version of Alexander duality between and its complem…
math.GR2024
Local connectedness of boundaries for relatively hyperbolic groups
Ashani Dasgupta, G. Christopher Hruska
Let be a relatively hyperbolic group pair that is relatively one ended. Then the Bowditch boundary of is locally connected. Bowditch previously…