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arXiv · 2507.15187

All genus open mirror symmetry for the projective line

Jinghao Yu·Zhengyu Zong
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Abstract

We prove that the Chekhov-Eynard-Orantin recursion on the mirror curve of $\mathbb{P}^1$ encodes all genus equivariant open Gromov-Witten invariants of $(\mathbb{P}^1, \mathbb{R}\mathbb{P}^1)$. This result can be viewed as an all genus equivariant open mirror symmetry for $(\mathbb{P}^1, \mathbb{R}\mathbb{P}^1)$.

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Jinghao Yu, Zhengyu Zong. 2025-07-21. All genus open mirror symmetry for the projective line. https://doi.org/10.1016/j.geomphys.2026.105988

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