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In this paper, we prove finite generation property and holomorphic anomalyequation for the equivariant Gromov-Witten theory of$K_{\mathbb{P}^1\times\mathbb{P}^1}$.

Finite generation and holomorphic anomaly equation for equivariant Gromov-Witten invariants of $K_{\mathbb{P}^1\times\mathbb{P}^1}$