5 citations · 32 across the 16 of their papers we have counts for
17 papers
Matroids and isomorphism problems for Bestvina-Brady groups
Yu-Chan Chang, Lorenzo Ruffoni
We propose a factorization of the graph isomorphism problem for Bestvina-Brady groups (BBGs) through matroid theory. In particular, we show that finitely presented BBGs depend on t…
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…
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…
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…
Manifolds without real projective or flat conformal structures
Lorenzo Ruffoni
In any dimension at least five we construct examples of closed smooth manifolds with the following properties: 1) they have neither real projective nor flat conformal structures; 2…
Special cubulation of strict hyperbolization
Jean-François Lafont, Lorenzo Ruffoni
We prove that the Gromov hyperbolic groups obtained by the strict hyperbolization procedure of Charney and Davis are virtually compact special, hence linear and residually finite.…
Tame and relatively elliptic -structures on the thrice-punctured sphere
Samuel A. Ballas, Philip L. Bowers, Alex Casella +1
Suppose a relatively elliptic representation of the fundamental group of the thrice-punctured sphere is given. We prove that all projective structures on with holonomy…
Graphical splittings of Artin kernels
Danielle Barquinero, Lorenzo Ruffoni, Kaidi Ye
We study Artin kernels, i.e. kernels of discrete characters of right-angled Artin groups, and we show that they decompose as graphs of groups in a way that can be explicitly comput…
Local deformations of branched projective structures: Schiffer variations and the Teichmüller map
Stefano Francaviglia, Lorenzo Ruffoni
We study a class of continuous deformations of branched complex projective structures on closed surfaces of genus , which preserve the holonomy representation of the struc…
Extending an example by Colding and Minicozzi
Lorenzo Ruffoni, Francesca Tripaldi
Extending an example by Colding and Minicozzi, we construct a sequence of properly embedded minimal disks in an infinite Euclidean cylinder around the -axis with curvatu…
Complex projective structures with maximal number of Möbius transformations
Gianluca Faraco, Lorenzo Ruffoni
We consider complex projective structures on Riemann surfaces and their groups of projective automorphisms. We show that the structures achieving the maximal possible number of pro…
Multi(de)grafting quasi-Fuchsian complex projective structures via bubbles
Lorenzo Ruffoni
We show that the simultaneous (de)grafting of a complex projective structure with quasi-Fuchsian holonomy along a multicurve can be performed by a simple sequence of one bubbling a…
Bubbling complex projective structures with quasi-Fuchsian holonomy
Lorenzo Ruffoni
For a given quasi-Fuchsian representation PSL of the fundamental group of a closed surface of genus , we prove that a generic branched comp…