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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2511.02353 |
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| _version_ | 1866911248125263872 |
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| author | Rodrigues, Antoine |
| author_facet | Rodrigues, Antoine |
| contents | We establish a criterion on wrapped Floer homology of an exact Lagrangian sub- manifold in a Liouville domain, which ensures the almost-existence of Hamiltonian chords near a given energy level. To this purpose we introduce a relative version of the coisotropic Hofer-Zehnder capacity, and compare it with some other capacities that are defined using filtered wrapped Floer homology. Our main application is the almost- existence of Hamiltonian chords near any hypersurface if the wrapped Floer homology vanishes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_02353 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A homological criterion for the almost-existence of Hamiltonian chords Rodrigues, Antoine Symplectic Geometry 53D12, 53D40 We establish a criterion on wrapped Floer homology of an exact Lagrangian sub- manifold in a Liouville domain, which ensures the almost-existence of Hamiltonian chords near a given energy level. To this purpose we introduce a relative version of the coisotropic Hofer-Zehnder capacity, and compare it with some other capacities that are defined using filtered wrapped Floer homology. Our main application is the almost- existence of Hamiltonian chords near any hypersurface if the wrapped Floer homology vanishes. |
| title | A homological criterion for the almost-existence of Hamiltonian chords |
| topic | Symplectic Geometry 53D12, 53D40 |
| url | https://arxiv.org/abs/2511.02353 |