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arXiv · 2608.29885

Existence of Reeb Chords from the Generation-Criteria

Mohamad Rabah
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Abstract

We give some existence results of Reeb chords using the $\textit{generation-criteria}$ of the Fukaya category. In particular, for $n\geq3$, we construct a Legendrian $\ell'\subset S^*\mathbb T^n$ such that every closed spin Legendrian $\ell\subset S^*\mathbb T^n$ either admits a self-Reeb chord or a Reeb chord joining it to $\ell'$.

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Mohamad Rabah. 2026-08-30. Existence of Reeb Chords from the Generation-Criteria. https://arxiv.org/abs/2608.29885

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