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 version of the minimal volume entropy of a homology class introduced by Babenko and Sabourau.
Bargagnati, G., Casali, A., Milizia, F., Moraschini, M. (2026). Minimal volume entropy of mapping tori over 3-manifolds. MATHEMATISCHE ANNALEN, 396(3), 1-45 [10.1007/s00208-026-03590-7].
Minimal volume entropy of mapping tori over 3-manifolds
Bargagnati, Giuseppe;Milizia, Francesco;Moraschini, Marco
2026
Abstract
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 version of the minimal volume entropy of a homology class introduced by Babenko and Sabourau.File in questo prodotto:
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