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arXiv · 2405.03866

On the Gromov width of complements of Lagrangian tori

Richard Hind
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Abstract

An integral product Lagrangian torus in the standard symplectic $\mathbb{C}^2$ is defined to be a subset $\{ \pi|z_1|^2 = k, \, \pi|z_2|^2 =l \}$ 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 $R$.

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Richard Hind. 2024-05-06. On the Gromov width of complements of Lagrangian tori. https://arxiv.org/abs/2405.03866

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