Topological computation of some Stokes phenomena on the affine line

DOI10.5802/aif.3323zbMath1505.14019arXiv1705.07610OpenAlexW3103130938MaRDI QIDQ2188226

Marco Hien, Andrea D'Agnolo, Claude Sabbah, Giovanni Morando

Publication date: 10 June 2020

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.07610

zbMATH Keywords

Fourier transformRiemann-Hilbert correspondencequiverirregular singularityregular singularityperverse sheafStokes phenomenonBorel-Moore homologyAiry equationStokes matrixholonomic \(\mathcal{D}\)-moduleenhanced ind-sheaf

Mathematics Subject Classification ID

Laplace transform (44A10) Sheaves of differential operators and their modules, (D)-modules (32C38) Structure of families (Picard-Lefschetz, monodromy, etc.) (14D05) Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies) (14F43) Stokes phenomena and connection problems (linear and nonlinear) for ordinary differential equations in the complex domain (34M40)

Related Items (9)

A short proof of a theorem of Cotti, Dubrovin and Guzzetti ⋮ Formal stationary phase for the Mellin transform of a \(\mathcal{D}\)-module ⋮ Enhanced nearby and vanishing cycles in dimension one and Fourier transform ⋮ Stokes matrices for Airy equations ⋮ On Some Topological Properties of Fourier Transforms of Regular Holonomic -Modules ⋮ Remarks on rigid irreducible meromorphic connections on the projective line ⋮ Enhanced specialization and microlocalization ⋮ On irregularities of Fourier transforms of regular holonomic \(\mathcal{D}\)-modules ⋮ D-modules of pure Gaussian type and enhanced ind-sheaves

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