7 papers
Convex cocompact groups with three-dimensional limit sets
Sami Douba, Gye-Seon Lee, Ludovic Marquis +1
We provide a general construction of convex cocompact hyperbolic reflection groups with three-dimensional limit sets. More precisely, our construction takes as input an arbitrary s…
Incubulable hyperbolic 3-pseudomanifold groups
Jason Manning, Lorenzo Ruffoni
We construct compact hyperbolic 3-manifolds with totally geodesic boundary, such that the closed 3-pseudomanifolds obtained by coning off the boundary components are negatively cur…
Convex cocompact groups in real hyperbolic spaces with limit set a Pontryagin sphere
Sami Douba, Gye-Seon Lee, Ludovic Marquis +1
We exhibit two examples of convex cocompact subgroups of the isometry groups of real hyperbolic spaces with limit set a Pontryagin sphere: one generated by reflections of $\ma…
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…
A graphical description of the BNS-invariants of Bestvina-Brady groups and the RAAG recognition problem
Yu-Chan Chang, Lorenzo Ruffoni
A finitely presented Bestvina-Brady group (BBG) admits a presentation involving only commutators. We show that if a graph admits a certain type of spanning trees, then the associat…
Infinite circle packings on surfaces with conical singularities
Philip L. Bowers, Lorenzo Ruffoni
We show that given an infinite triangulation of a surface with punctures (i.e., with no vertices at the punctures) and a set of target cone angles smaller than at the punc…