Minimal volume entropy of mapping tori over 3-manifolds
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.
Authors
- Giuseppe Bargagnati (ORCID: https://orcid.org/0000-0002-9142-6386)
- Francesco Milizia (ORCID: https://orcid.org/0000-0001-6738-1053)
- Marco Moraschini (ORCID: https://orcid.org/0000-0003-2692-6584)
- Alberto Casali
Institutions
- University of Pisa (IT)
- University of Bologna (IT)
Publication Details
- Journal
- Mathematische Annalen
- Published
- 2026-10-13
- DOI
- https://doi.org/10.1007/s00208-026-03590-7
- Primary Topic
- Geometric and Algebraic Topology
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Istituto Nazionale di Alta Matematica "Francesco Severi"
- European Commission
- Università di Bologna
- Gruppo Nazionale per le Strutture Algebriche, Geometriche e le loro Applicazioni
- HORIZON EUROPE European Research Council
- NextGenerationEU