The symplectic and twistor geometry of the general isomonodromic deformation problem

DOI10.1016/S0393-0440(01)00003-1zbMath1116.32015arXivnlin/0007024OpenAlexW3099199554MaRDI QIDQ5946010

N. M. J. Woodhouse

Publication date: 11 April 2002

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0007024

zbMATH Keywords

isomonodromic deformationstwistor spaces

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Twistor theory, double fibrations (complex-analytic aspects) (32L25) Twistor methods in differential geometry (53C28) Moduli and deformations for ordinary differential equations (e.g., Knizhnik-Zamolodchikov equation) (32G34)

Related Items

Isomonodromic deformations: confluence, reduction and quantisation ⋮ Hamiltonian structure of rational isomonodromic deformation systems ⋮ Geometry and braiding of Stokes data; fission and wild character varieties ⋮ Isomonodromic deformations of a rational differential system and reconstruction with the topological recursion: The sl2 case ⋮ On the geometry of isomonodromic deformations ⋮ Quasi-Hamiltonian geometry of meromorphic connections ⋮ Poisson varieties from Riemann surfaces

Cites Work

• Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. I: General theory and \(\tau \)-function
• Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. II
• Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. III
• Holonomic quantum fields. II: The Riemann-Hilbert problem
• Holonomic quantum fields. V
• Holonomic quantum fields. I
• Geometrical aspects of Schlesinger's equation
• The Painlevé property. One century later
• Twistor spaces, Einstein metrics and isomonodromic deformations
• A theorem of completeness of characteristic systems for analytic families of compact submanifolds of complex manifolds
• Symplectic manifolds and isomonodromic deformations
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