1 citations · 2 across the 8 of their papers we have counts for
8 papers
On the cup product of De Rham classes in bounded cohomology
Roberto Frigerio, Francesco Milizia
On a negatively curved closed manifold, there exists a well-defined map associating to every closed differential form a bounded cohomology class via integration over st…
Minimal volume entropy of mapping tori over 3-manifolds
Giuseppe Bargagnati, Alberto Casali, Francesco Milizia +1
We prove that the minimal volume entropy of mapping tori over oriented closed smooth -manifolds vanishes. Our approach uses a variation of the amenable category and a suitable v…
Simplicial maps between spheres and Davis' manifolds with positive simplicial volume
Francesco Milizia
We study the simplicial volume of manifolds obtained from Davis' reflection group trick, the goal being characterizing those having positive simplicial volume. In particular, we fo…
Cohomological characterisation of hyperbolicity
Francesco Milizia, Nansen Petrosyan, Alessandro Sisto +1
For any geodesic metric space , we give a complete cohomological characterisation of the hyperbolicity of in terms of vanishing of its second -cohomology. We…
Bounded differential forms and coinvariants of bounded functions
Francesco Milizia
Given a group acting cocompactly on a smooth manifold by deck transformations, there is an integration map, defined recently by Kato, Kishimoto and Tsutaya, from the top-de…
The action of mapping class groups on de Rham quasimorphisms
Giuseppe Bargagnati, Federica Bertolotti, Pietro Capovilla +1
We study the action of the mapping class group on the subspace of de Rham classes in the degree-two bounded cohomology of a hyperbolic surface. In particular, we show that the only…
Weakly bounded cohomology classes and a counterexample to a conjecture of Gromov
Dario Ascari, Francesco Milizia
We exhibit a finitely presented group whose second cohomology contains a weakly bounded, but not bounded, class. As an application, we disprove a long-standing conjecture of Gromov…
-cohomology: amenability, relative hyperbolicity, isoperimetric inequalities and undecidability
Francesco Milizia
We revisit Gersten's -cohomology of groups and spaces, removing the finiteness assumptions required by the original definition while retaining its geometric nature. Mi…