Invariant distances on spaces of Legendrians
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866911075798089728 |
|---|---|
| author | Arlove, Pierre-Alexandre |
| author_facet | Arlove, Pierre-Alexandre |
| contents | We construct new unbounded invariant distances on the universal cover of certain Legendrian isotopy classes. This is the first instance where unboundedness of an invariant distance is obtained without assuming the existence of a positive loop of contactomorphisms. We also show that invariant distances on Legendrian isotopy classes have to be discrete. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_18724 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Invariant distances on spaces of Legendrians Arlove, Pierre-Alexandre Symplectic Geometry Differential Geometry We construct new unbounded invariant distances on the universal cover of certain Legendrian isotopy classes. This is the first instance where unboundedness of an invariant distance is obtained without assuming the existence of a positive loop of contactomorphisms. We also show that invariant distances on Legendrian isotopy classes have to be discrete. |
| title | Invariant distances on spaces of Legendrians |
| topic | Symplectic Geometry Differential Geometry |
| url | https://arxiv.org/abs/2507.18724 |