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arXiv · 1706.04323

The Period map for quantum cohomology of $\mathbb{P}^2$

Todor Milanov
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Abstract

We invert the period map defined by the second structure connection of quantum cohomology of $\mathbb{P}^2$. For small quantum cohomology the inverse is given explicitly in terms of the Eisenstein series $E_4$ and $E_6$, while for big quantum cohomology the inverse is determined perturbatively as a Taylor series expansion whose coefficients are quasi-modular forms.

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Todor Milanov. 2017-06-14. The Period map for quantum cohomology of $\mathbb{P}^2$. https://doi.org/10.1016/j.aim.2019.05.011

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