Skein-valued mirror curves for toric CY3 strips
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866917133079805952 |
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| author | Hu, Mingyuan Shende, Vivek |
| author_facet | Hu, Mingyuan Shende, Vivek |
| contents | For a smooth semi-projective toric Calabi-Yau 3-fold containing no compact surface, we show the count of all-genus holomorphic curves with boundary on a single Aganagic-Vafa brane is annihilated by a skein-valued quantization of the mirror curve, and that this determines the count. We give explicit expressions for the equation and its solution. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_07762 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Skein-valued mirror curves for toric CY3 strips Hu, Mingyuan Shende, Vivek Symplectic Geometry For a smooth semi-projective toric Calabi-Yau 3-fold containing no compact surface, we show the count of all-genus holomorphic curves with boundary on a single Aganagic-Vafa brane is annihilated by a skein-valued quantization of the mirror curve, and that this determines the count. We give explicit expressions for the equation and its solution. |
| title | Skein-valued mirror curves for toric CY3 strips |
| topic | Symplectic Geometry |
| url | https://arxiv.org/abs/2512.07762 |