Hofer Energy and Link Preserving Diffeomorphisms in Higher Genus
| Autor: | Morabito, Francesco, Trifa, Ibrahim |
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| Rok vydání: | 2024 |
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| Druh dokumentu: | Working Paper |
| Popis: | 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. Comment: Exposition has been improved and typos have been corrected. No changes to the main result have been made |
| Databáze: | arXiv |
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