The Linearizability of Singular Foliations Is a Morita Invariant
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866910025196240896 |
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| author | Zambon, Marco |
| author_facet | Zambon, Marco |
| contents | Hausdorff Morita equivalence is an equivalence relation on singular foliations, which induces a bijection between their leaves. Our main statement is that linearizability along a leaf is invariant under Hausdorff Morita equivalence. The proof relies on a characterization of tubular neighborhood embeddings using Euler-like vector fields. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_19509 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Linearizability of Singular Foliations Is a Morita Invariant Zambon, Marco Differential Geometry Hausdorff Morita equivalence is an equivalence relation on singular foliations, which induces a bijection between their leaves. Our main statement is that linearizability along a leaf is invariant under Hausdorff Morita equivalence. The proof relies on a characterization of tubular neighborhood embeddings using Euler-like vector fields. |
| title | The Linearizability of Singular Foliations Is a Morita Invariant |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2506.19509 |