All genus open mirror symmetry for the projective line
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866917265460428800 |
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| author | Yu, Jinghao Zong, Zhengyu |
| author_facet | Yu, Jinghao Zong, Zhengyu |
| contents | 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 $(\mathbb{P}^1, \mathbb{R}\mathbb{P}^1)$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_15187 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | All genus open mirror symmetry for the projective line Yu, Jinghao Zong, Zhengyu Algebraic Geometry Mathematical Physics Symplectic Geometry 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 $(\mathbb{P}^1, \mathbb{R}\mathbb{P}^1)$. |
| title | All genus open mirror symmetry for the projective line |
| topic | Algebraic Geometry Mathematical Physics Symplectic Geometry |
| url | https://arxiv.org/abs/2507.15187 |