Isomonodromic deformations, Liouville form, \(\tau \) function.

DOI10.5802/aif.2052zbMath1086.34071OpenAlexW2462733893MaRDI QIDQ1774065

Bernard Malgrange

Publication date: 29 April 2005

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

Full work available at URL: http://www.numdam.org/item?id=AIF_2004__54_5_1371_0

zbMATH Keywords

Painlevé propertymonodromyisomonodromic deformation\(\tau\)-function

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55)

Related Items

The Malgrange form and Fredholm determinants, Differential algebras with Banach-algebra coefficients. I: From \(C^*\)-algebras to the \(K\)-theory of the spectral curve, Hiroshi Umemura and French mathematics, Isomonodromic deformations: confluence, reduction and quantisation, On Some Hamiltonian Properties of the Isomonodromic Tau Functions, Moduli spaces for linear differential equations and the Painlevé equations, Universal isomonodromic deformations of meromorphic rank 2 connections on curves, A canonical connection on bundles on Riemann surfaces and Quillen connection on the theta bundle, Tau functions of solutions of soliton equations

Cites Work

• The local structure of Poisson manifolds
• On nonlinear differential Galois theory
• Density matrix of an impenetrable Bose gas and the fifth Painlevé transcendent
• On the \(\tau \)-function of the Painlevé equations
• Loop groups and equations of KdV type
• Painlevé property of monodromy preserving deformation equations and the analyticity of \(\tau\) functions
• Stokes matrices, Poisson Lie groups and Frobenius manifolds.
• Meromorphic connections. II: The canonic grid
• Zeros of the Jimbo, Miwa, Ueno tau function
• Symplectic manifolds and isomonodromic deformations
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