3 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 -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 , where are finite permutation groups such that $F'…
math.GT2024
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…