Francesco Milizia

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20212026

most citedWeakly bounded cohomology classes and a counterexample to a conjecture of Gromov

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math.GT2024

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…

math.GR2024

Cohomological characterisation of hyperbolicity

Francesco Milizia, Nansen Petrosyan, Alessandro Sisto +1

For any geodesic metric space $X$ , we give a complete cohomological characterisation of the hyperbolicity of $X$ in terms of vanishing of its second $ℓ^{\infty}$ -cohomology. We…