Accepted Paper
Inserted: 17 nov 2025
Last Updated: 16 sep 2026
Journal: Math. Ann.
Year: 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.