Hofer Energy and Link Preserving Diffeomorphisms in Higher Genus
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arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866910914554363904 |
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| author | Morabito, Francesco Trifa, Ibrahim |
| author_facet | Morabito, Francesco Trifa, Ibrahim |
| contents | Given a pre-monotone Lagrangian link, we obtain Hofer energy estimates for Hamiltonian diffeomorphisms preserving it. Such estimates depend on the braid type of the Hamiltonian diffeomorphism only, and the natural language to talk about this phenomenon is provided by a family of norms on braid groups for surfaces with boundary. This generalises the results obtained by the first author to higher genus surfaces with boundary. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_01052 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Hofer Energy and Link Preserving Diffeomorphisms in Higher Genus Morabito, Francesco Trifa, Ibrahim Symplectic Geometry 53D40 37E30 Given a pre-monotone Lagrangian link, we obtain Hofer energy estimates for Hamiltonian diffeomorphisms preserving it. Such estimates depend on the braid type of the Hamiltonian diffeomorphism only, and the natural language to talk about this phenomenon is provided by a family of norms on braid groups for surfaces with boundary. This generalises the results obtained by the first author to higher genus surfaces with boundary. |
| title | Hofer Energy and Link Preserving Diffeomorphisms in Higher Genus |
| topic | Symplectic Geometry 53D40 37E30 |
| url | https://arxiv.org/abs/2404.01052 |