English

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

Algebraic Geometry 2019-06-28 v1 Mathematical Physics math.MP

Abstract

In this paper, we prove quasi-modularity property for the twisted Gromov-Witten theory of O(3)\mathcal{O}(3) over P2\mathbb{P}^2. Meanwhile, we derive its holomorphic anomaly equation.

Keywords

Cite

@article{arxiv.1906.11643,
  title  = {Quasi-modularity and holomorphic anomaly equation for the twisted Gromov-Witten theory: $\mathcal{O}(3)$ over $\mathbb{P}^2$},
  author = {Xin Wang},
  journal= {arXiv preprint arXiv:1906.11643},
  year   = {2019}
}

Comments

to appear in Acta Mathematica Sinica, English Series