Dynamics of the fifth Painlevé foliation (Q6604712)

From MaRDI portal





scientific article; zbMATH DE number 7913004
Language Label Description Also known as
English
Dynamics of the fifth Painlevé foliation
scientific article; zbMATH DE number 7913004

    Statements

    Dynamics of the fifth Painlevé foliation (English)
    0 references
    0 references
    0 references
    13 September 2024
    0 references
    In this long paper the authors construct the wild character variety of the fifth Painlevé folation as linear representations of some wild fundamental groupoid. They also show how this variety can be identified as a family of affine cubic surface through trace coordinates. The authors define and compute the time dynamics, the confluent dynamics and the wild dynamics, construct the character variety, and discuss the canonical symplectic dynamics on it.\N\NFor the entire collection see [Zbl 1540.58001].
    0 references
    isomonodromic deformations
    0 references
    Riemann-Hilbert correspondence
    0 references
    Painlevé V equation
    0 references
    tame dynamics
    0 references
    confluent dynamics
    0 references
    canonical symplectic dynamics
    0 references
    0 references
    0 references
    0 references
    0 references
    0 references
    0 references
    0 references
    0 references
    0 references
    0 references
    0 references
    0 references
    0 references

    Identifiers

    0 references
    0 references
    0 references
    0 references
    0 references
    0 references
    0 references
    0 references