Affine transverse foliations in sphere bundles
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2026
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866911725827129344 |
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| author | Alekseev, Ilya Nasonov, Ivan Panina, Gaiane |
| author_facet | Alekseev, Ilya Nasonov, Ivan Panina, Gaiane |
| contents | Let~$S^{n-1}\rightarrow E \rightarrow M^n$ be an oriented sphere bundle supporting an affine transverse foliation.
We give an upper bound for the Euler number of the bundle.
We also give a new and elementary proof of the following fact: if the fundamental group of $M^n$ is amenable, then the Euler number of the bundle vanishes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_01079 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Affine transverse foliations in sphere bundles Alekseev, Ilya Nasonov, Ivan Panina, Gaiane Geometric Topology 57R22, 57R30 Let~$S^{n-1}\rightarrow E \rightarrow M^n$ be an oriented sphere bundle supporting an affine transverse foliation. We give an upper bound for the Euler number of the bundle. We also give a new and elementary proof of the following fact: if the fundamental group of $M^n$ is amenable, then the Euler number of the bundle vanishes. |
| title | Affine transverse foliations in sphere bundles |
| topic | Geometric Topology 57R22, 57R30 |
| url | https://arxiv.org/abs/2603.01079 |