Dynamics of the fifth Painlevé foliation (Q6604712)
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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 |
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Dynamics of the fifth Painlevé foliation (English)
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13 September 2024
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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].
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isomonodromic deformations
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Riemann-Hilbert correspondence
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Painlevé V equation
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tame dynamics
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confluent dynamics
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canonical symplectic dynamics
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