2 citations · 2 across the 4 of their papers we have counts for
6 papers
A Theorem of Wolpert, and some Variations
Ludovico Battista, Nolwenn Le Quellec, Juan Souto
We give a streamlined proof of the fact that generically, isospectral hyperbolic surfaces are isometric. We also prove some versions of this result allowing for quasi-Fuchsian grou…
Can You Hear the Shape of a Hyperbolic Surface? Now for Real
Ludovico Battista, Juan Souto
We associate a musical instrument, a "hyperbolic marimba", to every pair where is a hyperbolic surface and a simple multicurve labeled with musical keys. I…
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…
Dodecahedral L-spaces and hyperbolic 4-manifolds
Ludovico Battista, Leonardo Ferrari, Diego Santoro
We prove that exactly 6 out of the 29 rational homology 3-spheres tessellated by four or less right-angled hyperbolic dodecahedra are L-spaces. The algorithm used is based on the L…
Infinitesimal Rigidity for Cubulated Manifolds
Ludovico Battista
We prove the infinitesimal rigidity of some geometrically infinite hyperbolic 4- and 5-manifolds. These examples arise as infinite cyclic coverings of finite-volume hyperbolic mani…
Hyperbolic 4-manifolds with perfect circle-valued Morse functions
Ludovico Battista, Bruno Martelli
We exhibit some (compact and cusped) finite-volume hyperbolic four-manifolds M with perfect circle-valued Morse functions, that is circle-valued Morse functions …