The chord conjecture for conormal bundles
Fuente:
arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
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| _version_ | 1866929212697346048 |
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| author | Broćić, Filip Cant, Dylan Shelukhin, Egor |
| author_facet | Broćić, Filip Cant, Dylan Shelukhin, Egor |
| contents | We prove Arnol'd's chord conjecture for all Legendrian submanifolds of cosphere bundles of closed manifolds isotopic to conormal bundles of closed submanifolds. Our method of proof involves an isomorphism between wrapped Floer cohomology and the homology of a path space with coefficients in a local system and a twisted version of the Hurewicz theorem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_08842 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The chord conjecture for conormal bundles Broćić, Filip Cant, Dylan Shelukhin, Egor Symplectic Geometry Differential Geometry 53D40 We prove Arnol'd's chord conjecture for all Legendrian submanifolds of cosphere bundles of closed manifolds isotopic to conormal bundles of closed submanifolds. Our method of proof involves an isomorphism between wrapped Floer cohomology and the homology of a path space with coefficients in a local system and a twisted version of the Hurewicz theorem. |
| title | The chord conjecture for conormal bundles |
| topic | Symplectic Geometry Differential Geometry 53D40 |
| url | https://arxiv.org/abs/2401.08842 |