Work

Minimal volume entropy of mapping tori over 3-manifolds

Year: 2026

Type: article

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.

Source: Mathematische Annalen

DOI: 10.1007/s00208-026-03590-7

Authors: Giuseppe Bargagnati, Alberto Casali, Francesco Milizia, Marco Moraschini

Institutions: University of Bologna, University of Pisa

Language: English

Topic: Geometric and Algebraic Topology

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,190