Polynomial structure of Gromov-Witten potential of quintic 3-folds

• 成果类型: Article
• 署名作者: Chang, Huai-Liang; Guo, Shuai; Li, Jun
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.4007/annals.2021.194.3.1
• 发表日期: 2021
• 页码: 585-645
• 关键词: mirror symmetry; INVARIANTS; localization

摘要

We prove two structure theorems for the Gromov-Witten theory of the quintic threefolds, which together give an effective algorithm for the all genus Gromov-Witten potential functions of quintics. By using these structure theorems, we prove Yamaguchi-Yau's Polynomial Ring Conjecture in this paper and prove Bershadsky-Cecotti-Ooguri-Vafa's Feynman rule conjecture in the subsequent paper.