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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…