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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2021
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| Materias: | |
| Acceso en línea: | https://arxiv.org/abs/2102.04551 |
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| _version_ | 1866913328243146752 |
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| author | Babenko, Ivan Sabourau, Stéphane |
| author_facet | Babenko, Ivan Sabourau, Stéphane |
| contents | This article deals with topological assumptions under which the minimal volume entropy of a closed manifold $M$, and more generally of a finite simplicial complex $X$, vanishes or is positive. These topological conditions are expressed in terms of the growth of the fundamental group of the fibers of maps from a given finite simplicial complex $X$ to lower dimensional simplicial complexes $P$. We also give examples of finite simplicial complexes with zero simplicial volume and arbitrarily large minimal volume entropy. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2102_04551 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Minimal volume entropy and fiber growth Babenko, Ivan Sabourau, Stéphane Geometric Topology This article deals with topological assumptions under which the minimal volume entropy of a closed manifold $M$, and more generally of a finite simplicial complex $X$, vanishes or is positive. These topological conditions are expressed in terms of the growth of the fundamental group of the fibers of maps from a given finite simplicial complex $X$ to lower dimensional simplicial complexes $P$. We also give examples of finite simplicial complexes with zero simplicial volume and arbitrarily large minimal volume entropy. |
| title | Minimal volume entropy and fiber growth |
| topic | Geometric Topology |
| url | https://arxiv.org/abs/2102.04551 |