Yefeng ShenStanford UniversityJie ZhouPerimeter Institute
Mathematical Physicsmathscidoc:1608.22001
We prove the Landau-Ginzburg/Calabi-Yau correspondence between the Gromov-Witten theory of each elliptic orbifold curve and its Fan-Jarvis-Ruan-Witten theory counterpart via modularity. We show that the correlation functions in these two enumerative theories are different representations of the same set of quasi-modular forms, expanded around different points on the upper-half plane. We relate these two representations by the Cayley transform.
@inproceedings{yefenglg/cy,
title={LG/CY Correspondence for Elliptic Orbifold Curves via Modularity},
author={Yefeng Shen, and Jie Zhou},
url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20160817202200101795218},
}
Yefeng Shen, and Jie Zhou. LG/CY Correspondence for Elliptic Orbifold Curves via Modularity. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20160817202200101795218.