Abstract
In this paper, we prove quasi-modularity property for the twisted Gromov-Witten theory of \(\mathcal{O}(3)\) over ℙ2. Meanwhile, we derive its holomorphic anomaly equation.
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Acknowledgements
The authors would like to special thank Shuai Guo and Felix Janda for discussing Givental theory and Calabi-Yau geometry. The results are obtained during the visit of the author in University of Michigan. The author would like thank professor Melissa Liu and Yongbin Ruan for their help during the visit in Columbia University and University of Michigan.
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Supported by NSFC (Grant No. 11601279) and by Shandong Provincial Natural Science Foundation, China (Grant No. ZR2016AQ05)
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Wang, X. Quasi-modularity and Holomorphic Anomaly Equation for the Twisted Gromov-Witten Theory: \(\mathcal{O}(3)\) over ℙ2. Acta. Math. Sin.-English Ser. 35, 1945–1962 (2019). https://doi.org/10.1007/s10114-019-8562-7
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DOI: https://doi.org/10.1007/s10114-019-8562-7