4 papers · 1 filter
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…
On signatures of the atoroidal bundles of Kent-Leininger
Jean-François Lafont, Nicholas Miller, Lorenzo Ruffoni
We show that there are infinitely many homeomorphism types of atoroidal surface bundles over surfaces which have signature zero.
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 punct…