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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.GT2025
Topological volumes of certain complete affine manifolds
Alberto Casali, Marco Moraschini
We provide an estimate of the amenable category of oriented closed connected complete affine manifolds whose fundamental group contains an infinite amenable normal subgroup. As an…