Symplectic capacities of disc cotangent bundles of flat tori
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866916708066787328 |
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| author | Benedetti, Gabriele Bimmermann, Johanna Zehmisch, Kai |
| author_facet | Benedetti, Gabriele Bimmermann, Johanna Zehmisch, Kai |
| contents | We show that on the unit disc cotangent bundle of flat Riemannian tori, all normalized capacities coincide with twice the systole. The same result holds for flat, reversible Finsler tori and normalized capacities that are greater than or equal to the Hofer-Zehnder capacity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_07351 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Symplectic capacities of disc cotangent bundles of flat tori Benedetti, Gabriele Bimmermann, Johanna Zehmisch, Kai Symplectic Geometry 53D35 We show that on the unit disc cotangent bundle of flat Riemannian tori, all normalized capacities coincide with twice the systole. The same result holds for flat, reversible Finsler tori and normalized capacities that are greater than or equal to the Hofer-Zehnder capacity. |
| title | Symplectic capacities of disc cotangent bundles of flat tori |
| topic | Symplectic Geometry 53D35 |
| url | https://arxiv.org/abs/2311.07351 |