Stokes matrices for Airy equations

Abstract

We compute Stokes matrices for generalised Airy equations and prove that they are regular unipotent (up to multiplication with the formal monodromy). This class of differential equations was defined by Katz and includes the classical Airy equation. In addition, it includes differential equations which are not rigid. Our approach is based on the topological computation of Stokes matrices of the enhanced Fourier-Sato transform of a perverse sheaf due to D'Agnolo, Hien, Morando and Sabbah.

arXiv comment21 pages, 2 figures; final version for publication

References in corpus (7)

• Global Weyl groups and a new theory of multiplicative quiver varieties
• Riemann-Hilbert correspondence for holonomic D-modules
• Enhanced perversities
• Topological computation of some Stokes phenomena on the affine line
• Rigid connections on ${\mathbb{P}}^1$ via the Bruhat-Tits building
• Stokes matrices for confluent hypergeometric equations
• D-modules of pure Gaussian type and enhanced ind-sheaves

Cited by in corpus (1)

• Airy sheaves for reductive groups