Topological symplectic manifolds and bi-Lipschitz structures
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2026
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| _version_ | 1866912954089209856 |
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| author | Cristofaro-Gardiner, Dan Zhang, Boyu |
| author_facet | Cristofaro-Gardiner, Dan Zhang, Boyu |
| contents | We show that a topological symplectic manifold has a canonically associated bi-Lipschitz structure. As a corollary, we obtain the first examples of non-existence and non-uniqueness for topological symplectic structures. Our arguments hold for any topological manifold admitting an atlas with transition maps that are $C^0$--limits of bi-Lipschitz homeomorphisms. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_07731 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Topological symplectic manifolds and bi-Lipschitz structures Cristofaro-Gardiner, Dan Zhang, Boyu Symplectic Geometry 53D05, 53D35, 57R10 We show that a topological symplectic manifold has a canonically associated bi-Lipschitz structure. As a corollary, we obtain the first examples of non-existence and non-uniqueness for topological symplectic structures. Our arguments hold for any topological manifold admitting an atlas with transition maps that are $C^0$--limits of bi-Lipschitz homeomorphisms. |
| title | Topological symplectic manifolds and bi-Lipschitz structures |
| topic | Symplectic Geometry 53D05, 53D35, 57R10 |
| url | https://arxiv.org/abs/2603.07731 |