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Ramanujan identities and quasi-modularity in Gromov–Witten theory
We prove that the ancestor Gromov-Witten correlation functions of one-dimensional compact Calabi-Yau orbifolds are quasi-modular forms.This includes the pillowcase orbifold which can not yet be handled by using Milanov-Ruan's B-model technique.We first show that genus zero modularity is obtained from the phenomenon that the system of WDVV equations is essentially …