3 papers
math.GT2026
Drilling hyperbolic groups
Daniel Groves, Peter Haïssinsky, Jason F. Manning +3
Given a hyperbolic group and a maximal infinite cyclic subgroup , we define a {\it drilling of along }, which is a relatively hyperbolic group pair $(…
math.GR2025
Topological stability of relatively hyperbolic groups acting on their boundaries
Kathryn Mann, Jason Fox Manning, Theodore Weisman
We prove a topological stability result for the actions of hyperbolic groups on their Bowditch boundaries. More precisely, we show that a sufficiently small perturbation of the sta…
math.GR2025
Relative cubulation of relative strict hyperbolization
Daniel Groves, Jean-François Lafont, Jason Fox Manning +1
We prove that many relatively hyperbolic groups obtained by relative strict hyperbolization admit a cocompact action on a CAT(0) cubical complex. Under suitable assumptions on the…