C^0 Lagrangian Monodromy
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866908474128990208 |
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| author | Porcelli, Noah |
| author_facet | Porcelli, Noah |
| contents | We prove that (under appropriate orientation assumptions), the action of a Hamiltonian homeomorphism ϕon the cohomology of a relatively exact Lagrangian fixed by ϕis the identity. This extends results of Hu-Lalonde-Leclercq and the author in the setting of Hamiltonian diffeomorphisms. We also prove a similar result regarding the action of ϕon relative cohomology. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_04591 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | C^0 Lagrangian Monodromy Porcelli, Noah Symplectic Geometry We prove that (under appropriate orientation assumptions), the action of a Hamiltonian homeomorphism ϕon the cohomology of a relatively exact Lagrangian fixed by ϕis the identity. This extends results of Hu-Lalonde-Leclercq and the author in the setting of Hamiltonian diffeomorphisms. We also prove a similar result regarding the action of ϕon relative cohomology. |
| title | C^0 Lagrangian Monodromy |
| topic | Symplectic Geometry |
| url | https://arxiv.org/abs/2404.04591 |