Jie Zhou, Perimeter Institute
“WDVV equations and Ramanujan identities”
In this talk I will explain why the ancestor GW correlation functions for an elliptic orbifold are quasi-modular forms.
I will show that the system of WDVV equations for the genus zero correlation functions is essentially equivalent to the set of Ramanujan identities for certain modular group. This would imply in particular that genus zero correlation functions are quasi-modular forms. Higher genus modularity then follows by using tautological relations.
The talk is based on the joint work with Yefeng Shen.