Abstract
In this paper, we study the higher genus equivariant Gromov—Witten invariants of \({K_{{\mathbb{P}^1} \times {\mathbb{P}^1}}}\) via Givental formalism. In particular, we prove the generating function satisfies finite generation property and holomorphic anomaly equation.
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Acknowledgements
The author would like to specially thank professor Shuai Guo and Felix Janda for numerous discussing Givental theory and Calabi—Yau geometry. He would also like to thank the anonymous referee for careful reading of the manuscript and for the many helpful suggestions and comments. This work is supported by National Science Foundation of China (Nos. 11601279, 12071255) and Shandong Provincial Natural Science Foundation (No. ZR2021MA101).
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Wang, X. Finite Generation and Holomorphic Anomaly Equation for Equivariant Gromov—Witten Invariants of \({K_{{\mathbb{P}^1} \times {\mathbb{P}^1}}}\). Front. Math 18, 17–46 (2023). https://doi.org/10.1007/s11464-021-0225-1
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DOI: https://doi.org/10.1007/s11464-021-0225-1