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.

to appear in Acta Mathematica Sinica, English Series

References in corpus (1)

• Structure of Higher Genus Gromov-Witten Invariants of Quintic 3-folds