Minimal volume entropy of mapping tori over 3-manifolds
Giuseppe Bargagnati, Alberto Casali, Francesco Milizia, Marco Moraschini · arXiv (Cornell University) · 2025
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.