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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.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.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 is infinite. As a consequence, the Euclidean space may be characterized as the un…