4 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…