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

Published 26 Jun 2019 in math.AG, math-ph, and math.MP | (1906.11643v1)

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.

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