Higher-genus Gromov-Witten theory of one-parameter Calabi-Yau threefolds I: Polynomiality
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866915000285659136 |
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| author | Lei, Patrick |
| author_facet | Lei, Patrick |
| contents | We prove the finite generation conjecture of arXiv:hep-th/0406078 for the Gromov-Witten potentials of the Calabi-Yau hypersurfaces $Z_6 \subset \mathbb{P}(1,1,1,1,2)$, $Z_8 \subset \mathbb{P}(1,1,1,1,4)$, and $Z_{10} \subset \mathbb{P}(1,1,1,2,5)$ using the theory of MSP fields. In addition, a formula is given for the genus one Gromov-Witten potentials of these targets. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_11659 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Higher-genus Gromov-Witten theory of one-parameter Calabi-Yau threefolds I: Polynomiality Lei, Patrick Algebraic Geometry Mathematical Physics We prove the finite generation conjecture of arXiv:hep-th/0406078 for the Gromov-Witten potentials of the Calabi-Yau hypersurfaces $Z_6 \subset \mathbb{P}(1,1,1,1,2)$, $Z_8 \subset \mathbb{P}(1,1,1,1,4)$, and $Z_{10} \subset \mathbb{P}(1,1,1,2,5)$ using the theory of MSP fields. In addition, a formula is given for the genus one Gromov-Witten potentials of these targets. |
| title | Higher-genus Gromov-Witten theory of one-parameter Calabi-Yau threefolds I: Polynomiality |
| topic | Algebraic Geometry Mathematical Physics |
| url | https://arxiv.org/abs/2409.11659 |