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

Xin Wang

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 equatio…