$\mathbb{P}^2$ 量子上同调的周期映射
代数几何
2019-05-31 v2 高能物理 - 理论
摘要
我们反演了由 量子上同调的第二结构联络定义的周期映射。对于小量子上同调，其逆映射由 Eisenstein 级数 和 显式给出；而对于大量子上同调，其逆映射以 Taylor 级数展开的形式微扰地确定，其系数为拟模形式。
关键词
引用
@article{arxiv.1706.04323,
title = {The Period map for quantum cohomology of $\mathbb{P}^2$},
author = {Todor Milanov},
journal= {arXiv preprint arXiv:1706.04323},
year = {2019}
}
备注
58 pages. Typos fixed. The previous version was extended in the following way: we proved the Laplace transform version of the $\Gamma$-conjecture for $\mathbb{P}^2$, worked out the structure of a Schwarz triangular map, and added an appendix explaining the relation to vertex algebras and W-constraints. Version accepted in Adv. in Math