By mirror symmetry, the quantum connection of a weighted projective line is closely related to the localized Fourier–Laplace transform of some Gauß–Manin system. Following an article of D’Agnolo, Hien, Morando, and Sabbah, we compute the Stokes matrices for the latter at \(\infty \) for the cases \({\mathbb {P}}(1,3)\) and \({\mathbb {P}}(2,2)\) by purely topological methods. We compare them to the Gram matrix of the Euler–Poincaré pairing on \(D^b(\mathrm{Coh}({\mathbb {P}}(1,3)))\) and \(D^b(\mathrm{Coh}({\mathbb {P}}(2,2)))\), respectively. This article is based on the doctoral thesis of the author.

通过镜像对称，加权投影线的量子连接与某些Gauß-Manin系统的局部傅里叶-拉普拉斯变换密切相关。以下D'阿尼奥洛，HIEN，MORANDO公司，和萨巴赫的制品，我们计算对于后者斯托克斯矩阵在\（\ infty \）的情况下\（{\ mathbb {P}}（1,3）\）和\（{\ mathbb {P}}（2,2）\）通过纯拓扑方法。我们将它们与\（D ^ b（\ mathrm {Coh}（{\ mathbb {P}}（1,3）））\）\）和\（D ^ b（\ mathrm {Coh}（{\ mathbb {P}}（2,2）））\）。本文基于作者的博士论文。