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arXiv · 1603.02660

LG/CY Correspondence for Elliptic Orbifold Curves via Modularity

Yefeng Shen·Jie Zhou
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Abstract

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.

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BibTeXRIS

Yefeng Shen, Jie Zhou. 2016-03-08. LG/CY Correspondence for Elliptic Orbifold Curves via Modularity. https://doi.org/10.4310/jdg%2F1527040874

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