An invitation to singular foliations
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866912127004966912 |
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| author | Laurent-Gengoux, Camille Louis, Ruben Ryvkin, Leonid |
| author_facet | Laurent-Gengoux, Camille Louis, Ruben Ryvkin, Leonid |
| contents | These lecture notes attempt to invite the reader towards the theory of singular foliations, both smooth and holomorphic. In addition to a systematic review of the foundations, and an attempt to put in order examples and several elementary constructions, we detail several recent tools developed for non-commutative geometry, in particular the holonomy groupoid of Androulidakis and Skandalis and various methods for resolving singularities. We also introduce various homotopic notions, and end with a series of open questions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_14932 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | An invitation to singular foliations Laurent-Gengoux, Camille Louis, Ruben Ryvkin, Leonid Differential Geometry 53C12 foliations, 32M25 holomorphic foliations, 32S50 and 22A22 (topological groupoids) These lecture notes attempt to invite the reader towards the theory of singular foliations, both smooth and holomorphic. In addition to a systematic review of the foundations, and an attempt to put in order examples and several elementary constructions, we detail several recent tools developed for non-commutative geometry, in particular the holonomy groupoid of Androulidakis and Skandalis and various methods for resolving singularities. We also introduce various homotopic notions, and end with a series of open questions. |
| title | An invitation to singular foliations |
| topic | Differential Geometry 53C12 foliations, 32M25 holomorphic foliations, 32S50 and 22A22 (topological groupoids) |
| url | https://arxiv.org/abs/2407.14932 |