Giuseppe Bargagnati

activity

20212025

collaborators

5 papers

math.GT2025

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 $3$ -manifolds vanishes. Our approach uses a variation of the amenable category and a suitable v…

math.GR2024

Bounded cohomology of groups acting on trees with almost prescribed local actions

Giuseppe Bargagnati, Elena Bogliolo

We prove the vanishing of bounded cohomology of the groups acting on trees with almost prescribed local actions $G (F, F^{'})$ , where $F < F^{'}$ are finite permutation groups such that $F'…

math.GT2023

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…

math.GT2022

Simplicial volume of manifolds with amenable fundamental group at infinity

Giuseppe Bargagnati

We show that for $n \neq = 1, 4$ the simplicial volume of an inward tame triangulable open $n$ -manifold $M$ with amenable fundamental group at infinity at each end is finite; moreover…

math.GT2021

The simplicial volume of contractible 3-manifolds

Giuseppe Bargagnati, Roberto Frigerio

We show that the simplicial volume of a contractible 3-manifold not homeomorphic to $R^{3}$ is infinite. As a consequence, the Euclidean space may be characterized as the un…