Moduli Spaces for the Fifth Painlevé Equation

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2023
• Main Authors: van der Put, Marius, Top, Jaap
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2023
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/212016
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Moduli Spaces for the Fifth Painlevé Equation. Marius van der Put and Jaap Top. SIGMA 19 (2023), 068, 26 pages

Isomonodromy for the fifth Painlevé equation P₅ is studied in detail in the context of certain moduli spaces for connections, monodromy, the Riemann-Hilbert morphism, and Okamoto-Painlevé spaces. This involves explicit formulas for Stokes matrices and parabolic structures. The rank 4 Lax pair for P₅...