Topological computation of the Stokes matrices of the weighted projective line $\mathbb{P}(1,3)$

26 Apr 2019 Sattelberger Anna-Laura

The localized Fourier-Laplace transform of the Gau{\ss}-Manin system of $f\colon \mathbb{G}_m \to \mathbb{A}^1,\ x \mapsto x + x^{-3}$ is a $\mathcal{D}_{\mathbb{G}_m}$-module, having a regular singularity at $0$ and an irregular one at $\infty$. By mirror symmetry, it is closely related to the quantum connection of the weighted projective line $\mathbb{P}(1,3)$... (read more)

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  • ALGEBRAIC GEOMETRY
  • CLASSICAL ANALYSIS AND ODES