From pre-lamination to foliated plane
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866908684111577088 |
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| author | Bonatti, Christian Marty, Théo |
| author_facet | Bonatti, Christian Marty, Théo |
| contents | To a singular foliation on the plane corresponds a circular boundary at infinity endowed with a pre-lamination on the circle. We solve the converse direction. We determine which pre-lamination on the circle are boundary at infinity of a foliation, and we build the corresponding (unique) foliation. We consider both regular foliations and a singular foliations with prong singularities. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_01751 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | From pre-lamination to foliated plane Bonatti, Christian Marty, Théo Dynamical Systems General Topology 37C86, 57R30 To a singular foliation on the plane corresponds a circular boundary at infinity endowed with a pre-lamination on the circle. We solve the converse direction. We determine which pre-lamination on the circle are boundary at infinity of a foliation, and we build the corresponding (unique) foliation. We consider both regular foliations and a singular foliations with prong singularities. |
| title | From pre-lamination to foliated plane |
| topic | Dynamical Systems General Topology 37C86, 57R30 |
| url | https://arxiv.org/abs/2512.01751 |