Minimal volume entropy of mapping tori over 3-manifolds
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866908552621195264 |
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| author | Bargagnati, Giuseppe Casali, Alberto Milizia, Francesco Moraschini, Marco |
| author_facet | Bargagnati, Giuseppe Casali, Alberto Milizia, Francesco Moraschini, Marco |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_17851 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Minimal volume entropy of mapping tori over 3-manifolds Bargagnati, Giuseppe Casali, Alberto Milizia, Francesco Moraschini, Marco Geometric Topology Differential Geometry 53C23, 57R19, 55R10, 57R22, 57R30, 57K30 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. |
| title | Minimal volume entropy of mapping tori over 3-manifolds |
| topic | Geometric Topology Differential Geometry 53C23, 57R19, 55R10, 57R22, 57R30, 57K30 |
| url | https://arxiv.org/abs/2509.17851 |