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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2301.08389 |
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| _version_ | 1866917636610195456 |
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| author | Genlik, Deniz Tseng, Hsian-Hua |
| author_facet | Genlik, Deniz Tseng, Hsian-Hua |
| contents | We study the structure of higher genus Gromov-Witten theory of the quotient stack $[\mathbb{C}^n/\mathbb{Z}_n]$. We prove holomorphic anomaly equations for $[\mathbb{C}^n/\mathbb{Z}_n]$, generalizing previous results of Lho-Pandharipande arXiv:1804.03168 for the case of $[\mathbb{C}^3/\mathbb{Z}_3]$ and ours arXiv:2211.15878 for the case $[\mathbb{C}^5/\mathbb{Z}_5]$ to arbitrary $n\geq{3}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2301_08389 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Higher Genus Gromov-Witten Theory of C^n/Z_n I: Holomorphic Anomaly Equations Genlik, Deniz Tseng, Hsian-Hua Algebraic Geometry Mathematical Physics We study the structure of higher genus Gromov-Witten theory of the quotient stack $[\mathbb{C}^n/\mathbb{Z}_n]$. We prove holomorphic anomaly equations for $[\mathbb{C}^n/\mathbb{Z}_n]$, generalizing previous results of Lho-Pandharipande arXiv:1804.03168 for the case of $[\mathbb{C}^3/\mathbb{Z}_3]$ and ours arXiv:2211.15878 for the case $[\mathbb{C}^5/\mathbb{Z}_5]$ to arbitrary $n\geq{3}$. |
| title | Higher Genus Gromov-Witten Theory of C^n/Z_n I: Holomorphic Anomaly Equations |
| topic | Algebraic Geometry Mathematical Physics |
| url | https://arxiv.org/abs/2301.08389 |