Genus Two Siegel Quasi-Modular Forms and Gromov-Witten Theory of Toric Calabi-Yau Threefolds

被引：0
|
作者：
Ruan, Yongbin [1 ]
Zhang, Yingchun [2 ]
Zhou, Jie [3 ]
机构：
[1] Zhejiang Univ, Inst Adv Study Math, Hangzhou, Peoples R China
[2] Univ Michigan, Dept Math, 2074 East Hall,530 Church St, Ann Arbor, MI 48109 USA
[3] Tsinghua Univ, Yau Math Sci Ctr, Beijing 100084, Peoples R China
来源：
COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2023年 / 398卷 / 02期
关键词：
TAU-FUNCTIONS; CURVES;
D O I：
10.1007/s00220-022-04534-3
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We first formulate theories of differential rings of Siegel quasi-modular and Siegel quasi-Jacobi forms for genus two. Then we apply them to Eynard-Orantin topological recursion of the toric Calabi-Yau threefold C-3/Z(6) equipped with brane whose mirror curve is a genus-two hyperelliptic curve. By the proof of the Remodeling Conjecture, we prove that the corresponding open- and closed- Gromov-Witten potentials are essentially Siegel quasi-Jacobi and Siegel quasi-modular forms for genus two, respectively.
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页码：757 / 796
页数：40
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