Geometric aspects of the Painlevé equations \(\mathrm {PIII}(D_{6})\) and \(\mathrm{PIII}(D_{7})\)

DOI10.3842/SIGMA.2014.050zbMath1292.34086arXiv1207.4023MaRDI QIDQ2447909

Marius van der Put, Jaap Top

Publication date: 29 April 2014

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.4023

zbMATH Keywords

Painlevé equationsisomonodromic deformationsStokes matricesirregular singularitiesmoduli space for linear connectionsmonodromy spaces

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Algebraic moduli problems, moduli of vector bundles (14D20) Stokes phenomena and connection problems (linear and nonlinear) for ordinary differential equations in the complex domain (34M40) Isomonodromic deformations for ordinary differential equations in the complex domain (34M56)

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Isomonodromy for the degenerate fifth Painlevé equation ⋮ Moduli spaces for the fifth Painlevé equation

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