32 citations · 180 across the 25 of their papers we have counts for
10 papers · 1 filter
Bounded Cohomology Classes of Exact Forms
Ludovico Battista, Stefano Francaviglia, Marco Moraschini +2
On negatively curved compact manifolds, it is possible to associate to every closed form a bounded cocycle - hence a bounded cohomology class - via integration over straight simpli…
Volume rigidity at ideal points of the character variety of hyperbolic 3-manifolds
Stefano Francaviglia, Alessio Savini
Given the fundamental group of a finite-volume complete hyperbolic -manifold , it is possible to associate to any representation $ρ:Γ\rightarrow \text{Isom}(\mathbb{H}^3)…
The oriented graph of multi-graftings in the Fuchsian case
Gabriel Calsamiglia, Bertrand Deroin, Stefano Francaviglia
We prove the connectedness and calculate the diameter of the oriented graph of graftings associated to exotic complex projective structures on a compact surface S with a given holo…
Branched projective structures with quasi-Fuchsian holonomy
Gabriel Calsamiglia, Bertrand Deroin, Stefano Francaviglia
We prove that if S is a closed compact surface of negative Euler characteristic, and if R is a quasi-Fuchsian representation in PSL(2,C), then the deformation space M(k,R) of branc…
Stable complexity and simplicial volume of manifolds
Stefano Francaviglia, Roberto Frigerio, Bruno Martelli
Let the complexity of a closed manifold M be the minimal number of simplices in a triangulation of M. Such a quantity is clearly submultiplicative with respect to finite coverings,…
Rigidity of representations in SO(4,1) for Dehn fillings on 2-bridge knots
Stefano Francaviglia, Joan Porti
We prove that, for a hyperbolic two bridge knot, infinitely many Dehn fillings are rigid in . Here rigidity means that any discrete and faithful representation in $SO_0(…