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

Abstract

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