Hamiltonian representation of isomonodromic deformations of twisted rational connections: the Painlevé 1 hierarchy
type: Item
instance of: scholarly article
title: Hamiltonian representation of isomonodromic deformations of twisted rational connections: the Painlevé 1 hierarchy
author: Olivier Marchal
author: Mohamad Alameddine
published in: Communications in Mathematical Physics
publication date: 2025-01-09T00:00:00Z
Mathematics Subject Classification ID: 34Mxx
Mathematics Subject Classification ID: 37Jxx
Mathematics Subject Classification ID: 81Txx
zbMATH DE Number: 7963931
MaRDI profile type: Publication
cites work: Dual moment maps into loop algebras
cites work: Darboux coordinates and Liouville-Arnold integration in loop algebras
cites work: Darboux coordinates on coadjoint orbits of Lie algebras
cites work: Isomonodromic and isospectral deformations of meromorphic connections: the \(\mathfrak{sl}_2(\mathbb{C})\) case
cites work: Rational differential systems, loop equations, and application to the \(q\)th reductions of KP
cites work: Mixed correlation function and spectral curve for the 2-matrix model
cites work: Hamiltonian structure of rational isomonodromic deformation systems
cites work: Wild non-abelian Hodge theory on curves
cites work: Symplectic manifolds and isomonodromic deformations
cites work: Simply-laced isomonodromy systems
cites work: Geometry and braiding of Stokes data; fission and wild character varieties
cites work: Hermitian matrix model free energy: Feynman graph technique for all genera
cites work: Quantization of spectral curves for meromorphic Higgs bundles through topological recursion
cites work: Quantization of Classical Spectral Curves via Topological Recursion
cites work: Invariants of algebraic curves and topological expansion
cites work: Topological recursion in enumerative geometry and random matrices
cites work: Sur quelques équations différentielles linéaires du second ordre.
cites work: Isomonodromic deformations: confluence, reduction and quantisation
cites work: Sur les équations différentielles du second ordre et du premier degré dont l'intégrale générale est à points critiques fixes.
cites work: Solution du problème de Riemann pour les systèmes différentiels linéaires du second ordre.
cites work: On the geometry of isomonodromic deformations
cites work: Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. II
cites work: Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. I: General theory and \(\tau \)-function
cites work: Intersection theory on the moduli space of curves and the matrix Airy function
cites work: Isomonodromic deformations of a rational differential system and reconstruction with the topological recursion: The sl2 case
cites work: Sur les équations différentielles du second ordre et d'ordre supérieur dont l'intégrale générale est uniforme.
cites work: Mémoire sur la théorie des fonctions algébriques de deux variables.
cites work: Über eine Klasse von Differentialsystemen beliebiger Ordnung mit festen kritischen Punkten.
cites work: Fundamental two-forms for isomonodromic deformations
DOI: 10.1007/S00220-024-05187-0
description: scientific article; zbMATH DE number 7963931