Painlevé equations and complex reflections.

DOI10.5802/aif.1972zbMath1081.34086arXiv1305.6462OpenAlexW2963234546MaRDI QIDQ1415560

Philip Boalch

Publication date: 8 December 2003

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

Full work available at URL: https://arxiv.org/abs/1305.6462

zbMATH Keywords

Painlevé equationisomonodromic deformationsbraid groupcomplex reflections

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Other geometric groups, including crystallographic groups (20H15)

Related Items (max. 100)

Simply-laced isomonodromy systems ⋮ Flat structure on the space of isomonodromic deformations ⋮ Symmetric cubic surfaces and 𝐆₂ character varieties

Cites Work

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• Monodromy problem and the boundary condition for some Painlevé equations
• Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. II
• Towards spetses. I
• Geometrical aspects of Schlesinger's equation
• Density of monodromy actions on non-abelian cohomology.
• Monodromy of certain Painlevé-VI transcendents and reflection groups
• Algebraic and geometric isomonodromic deformations.
• Quantum Coadjoint Action
• Towards a Schubert calculus for complex reflection groups
• Finite Unitary Reflection Groups
• Symplectic manifolds and isomonodromic deformations

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