an:06877021
Zbl 1443.14060
Shen, Yefeng; Zhou, Jie
LG/CY correspondence for elliptic orbifold curves via modularity
EN
J. Differ. Geom. 109, No. 2, 291-336 (2018).
00402110
2018
j
14N35 57R18 14J32
Summary: 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.