Zobrazeno 1 - 10
of 43
pro vyhledávání: '"Ruffoni, Lorenzo"'
We show that there are infinitely many homeomorphism types of atoroidal surface bundles over surfaces which have signature zero.
Externí odkaz:
http://arxiv.org/abs/2410.18029
Autor:
Bowers, Philip L., Ruffoni, Lorenzo
We show that given an infinite triangulation $K$ of a surface with punctures (i.e., with no vertices at the punctures) and a set of target cone angles $\Theta$ at the punctures that satisfy a Gauss-Bonnet inequality, there exists a hyperbolic metric
Externí odkaz:
http://arxiv.org/abs/2305.03505
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 peripheral subgroups, these groups are residually finite and even virt
Externí odkaz:
http://arxiv.org/abs/2304.14946
Autor:
Chang, Yu-Chan, Ruffoni, Lorenzo
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 associated BBG is a right-angled Artin group (RAAG). As an application, we obt
Externí odkaz:
http://arxiv.org/abs/2212.06901
Autor:
Ruffoni, Lorenzo
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) their fundamental group is a non-elementary Gromov hyperbolic group.
Externí odkaz:
http://arxiv.org/abs/2206.07206
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. Our strategy consists in constructing an action of a hyperbolized grou
Externí odkaz:
http://arxiv.org/abs/2206.03620
Suppose a relatively elliptic representation $\rho$ of the fundamental group of the thrice-punctured sphere $S$ is given. We prove that all projective structures on $S$ with holonomy $\rho$ and satisfying a tameness condition at the punctures can be
Externí odkaz:
http://arxiv.org/abs/2107.06370
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 computed from the underlying graph. When the underlying graph is chordal we
Externí odkaz:
http://arxiv.org/abs/2004.13206
We study a class of continuous deformations of branched complex projective structures on closed surfaces of genus $g\geq 2$, which preserve the holonomy representation of the structure and the order of the branch points. In the case of non-elementary
Externí odkaz:
http://arxiv.org/abs/1911.05290
Autor:
Ruffoni, Lorenzo, Tripaldi, Francesca
Extending an example by Colding and Minicozzi, we construct a sequence of properly embedded minimal disks $\Sigma_i$ in an infinite Euclidean cylinder around the $x_3$-axis with curvature blow-up at a single point. The sequence converges to a non smo
Externí odkaz:
http://arxiv.org/abs/1810.00359