5 papers
Non-existence of Cannon-Thurston maps for hierarchically hyperbolic groups
Funda Gültepe, Ravi Tomar
We prove that Cannon--Thurston maps do not exist for hyperbolic normal subgroups of hierarchically hyperbolic groups, both for Morse and hierarchically hyperbolic boundaries. This…
Combination of locally quasiconvex hyperbolic TDLC groups and Cannon-Thurston maps
Swarnali Datta, Arunava Mandal, Ravi Tomar
In this article, we study acylindrical graphs of groups, local quasiconvexity, and Cannon-Thurston maps in the setting of totally disconnected locally compact (TDLC) hyperbolic gro…
On the connectedness of the boundary of hierarchically hyperbolic spaces
Ravi Tomar
We prove that, under a mild assumption, any metrizable compactification of a one-ended proper geodesic metric space is connected. As a consequence, we deduce that the boundary, int…
On combination theorems and Bowditch boundaries of relatively hyperbolic TDLC groups
Swarnali Datta, Arunava Mandal, Ravi Tomar
Based on the work of Farb, Bowditch, and Groves-Manning on discrete relatively hyperbolic groups, we introduce an approach to relative hyperbolicity for totally disconnected locall…
Liftable mapping class groups of regular abelian covers
Neeraj K. Dhanwani, Pankaj Kapari, Kashyap Rajeevsarathy +1
Let be the closed oriented surface of genus , and let be the mapping class group of . For , we develop an algorithm to obtain a fi…