Quasi-modularity and holomorphic anomaly equation for the twisted Gromov-Witten theory: $\mathcal{O}(3)$ over ${\mathbb{P}}^2$

Abstract

In this paper, we prove quasi-modularity property for the twisted Gromov-Witten theory of $\mathcal{O}(3)$ over ${\mathbb{P}}^2$. Meanwhile, we derive its holomorphic anomaly equation.

arXiv commentto appear in Acta Mathematica Sinica, English Series

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