Moduli Spaces for the Fifth Painlevé Equation

被引：0
|
作者：
Van Der Put, Marius [1 ]
Top, Jaap [1 ]
机构：
[1] Bernoulli Inst, Nijenborgh 9, NL-9747 AG Groningen, Netherlands
来源：
SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS | 2023年 / 19卷
关键词：
moduli space for linear connections; irregular singularities; Stokes matrices; monodromy spaces; isomonodromic deformations; Painleve equations; ORDINARY DIFFERENTIAL-EQUATIONS; DEFORMATION;
D O I：
10.3842/SIGMA.2023.068
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Isomonodromy for the fifth Painleve equation P5 is studied in detail in the context of certain moduli spaces for connections, monodromy, the Riemann-Hilbert morphism, and Okamoto-Painleve spaces. This involves explicit formulas for Stokes matrices and parabolic structures. The rank 4 Lax pair for P5, introduced by Noumi-Yamada et al., is shown to be induced by a natural fine moduli space of connections of rank 4. As a byproduct one obtains a polynomial Hamiltonian for P5, equivalent to the one of Okamoto.
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页数：26
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