49 citations · 243 across the 27 of their papers we have counts for
33 papers
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 $(…
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…
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…
Stability of hyperbolic groups acting on their boundaries
Kathrynn Mann, Jason Fox Manning, Theodore Weisman
A hyperbolic group acts by homeomorphisms on its Gromov boundary. We use a dynamical coding of boundary points to show that such actions are topologically stable in the dynamical s…
Special IMM groups
Daniel Groves, Jason Fox Manning
Italiano-Martelli-Migliorini recently constructed hyperbolic groups which have non-hyperbolic subgroups of finite type. Using a closely related construction, Llosa Isenrich-Martell…
Acylindrically hyperbolic groups and their quasi-isometrically embedded subgroups
Carolyn R. Abbott, Jason F. Manning
We abstract the notion of an A/QI triple from a number of examples in geometric group theory. Such a triple (G,X,H) consists of a group G acting on a Gromov hyperbolic space X, acy…