Monodromy preserving deformation of linear differential equations with irregular singular points

DOI10.3792/pjaa.56.97zbMath0487.34004OpenAlexW2052495148MaRDI QIDQ1165364

Kimio Ueno

Publication date: 1980

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.56.97

zbMATH Keywords

asymptotic solutionsRiemann's problemirregular singular pointsmonodromy preserving deformationlocal monodromydeformation theories

Mathematics Subject Classification ID

Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35)

Related Items (10)

Deformation of linear ordinary differential equations. I ⋮ On tau functions of a class of Painleve type equations. I ⋮ On the monodromy of the deformed cubic oscillator ⋮ Unnamed Item ⋮ Monodromy preserving deformation and its application to soliton theory ⋮ Isomonodromy problem of Schlesinger equations ⋮ Discrete Painlevé equations and their appearance in quantum gravity ⋮ The isomonodromy approach to matrix models in 2D quantum gravity ⋮ Geometry and integrability of topological-antitopological fusion ⋮ On the isomonodromic deformation for linear ordinary differential equations of the second order

Cites Work

• Birkhoff invariants and Stokes' multipliers for meromorphic linear differential equations
• Holonomic quantum fields. III
• Monodromy- and spectrum-preserving deformations. I
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• Unnamed Item
• Unnamed Item

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