{"title":"Higher-genus Gromov-Witten theory of one-parameter Calabi-Yau threefolds I: Polynomiality","authors":"Patrick Lei","doi":"arxiv-2409.11659","DOIUrl":null,"url":null,"abstract":"We prove the finite generation conjecture of arXiv:hep-th/0406078 for the\nGromov-Witten potentials of the Calabi-Yau hypersurfaces $Z_6 \\subset\n\\mathbb{P}(1,1,1,1,2)$, $Z_8 \\subset \\mathbb{P}(1,1,1,1,4)$, and $Z_{10}\n\\subset \\mathbb{P}(1,1,1,2,5)$ using the theory of MSP fields.","PeriodicalId":501312,"journal":{"name":"arXiv - MATH - Mathematical Physics","volume":"2 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Mathematical Physics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.11659","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
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.
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