Bott-integrability of overtwisted contact structures
Fuente:
arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
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| _version_ | 1866912986996670464 |
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| author | Geiges, Hansjörg Hedicke, Jakob Sağlam, Murat |
| author_facet | Geiges, Hansjörg Hedicke, Jakob Sağlam, Murat |
| contents | We show that an overtwisted contact structure on a closed, oriented 3-manifold can be defined by a contact form having a Bott-integrable Reeb flow if and only if the Poincaré dual of its Euler class is represented by a graph link. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_05784 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Bott-integrability of overtwisted contact structures Geiges, Hansjörg Hedicke, Jakob Sağlam, Murat Symplectic Geometry Dynamical Systems 37J35, 37J55, 53D35, 57K33 We show that an overtwisted contact structure on a closed, oriented 3-manifold can be defined by a contact form having a Bott-integrable Reeb flow if and only if the Poincaré dual of its Euler class is represented by a graph link. |
| title | Bott-integrability of overtwisted contact structures |
| topic | Symplectic Geometry Dynamical Systems 37J35, 37J55, 53D35, 57K33 |
| url | https://arxiv.org/abs/2501.05784 |