On the Gromov width of complements of Lagrangian tori
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arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866914786949726208 |
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| author | Hind, Richard |
| author_facet | Hind, Richard |
| contents | An integral product Lagrangian torus in the standard symplectic $\mathbb{C}^2$ is defined to be a subset $\{ π|z_1|^2 = k, \, π|z_2|^2 =l \}$ with $k,l \in \mathbb{N}$. Let $\mathcal{L}$ be the union of all integral product Lagrangian tori. We compute the Gromov width of complements $B(R) \setminus \mathcal{L}$ for some small $R$, where $B(R)$ denotes the round ball of capacity $R$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_03866 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the Gromov width of complements of Lagrangian tori Hind, Richard Symplectic Geometry 53D12, 53D35 An integral product Lagrangian torus in the standard symplectic $\mathbb{C}^2$ is defined to be a subset $\{ π|z_1|^2 = k, \, π|z_2|^2 =l \}$ with $k,l \in \mathbb{N}$. Let $\mathcal{L}$ be the union of all integral product Lagrangian tori. We compute the Gromov width of complements $B(R) \setminus \mathcal{L}$ for some small $R$, where $B(R)$ denotes the round ball of capacity $R$. |
| title | On the Gromov width of complements of Lagrangian tori |
| topic | Symplectic Geometry 53D12, 53D35 |
| url | https://arxiv.org/abs/2405.03866 |