Hamiltonian representation of isomonodromic deformations of twisted rational connections: the Painlevé 1 hierarchy (Q6659452)

scientific article; zbMATH DE number 7963931

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English	Hamiltonian representation of isomonodromic deformations of twisted rational connections: the Painlevé 1 hierarchy	scientific article; zbMATH DE number 7963931

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title

Hamiltonian representation of isomonodromic deformations of twisted rational connections: the Painlevé 1 hierarchy (English)

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Communications in Mathematical Physics

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publication date

9 January 2025

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Publication

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cites work

Dual moment maps into loop algebras

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Darboux coordinates and Liouville-Arnold integration in loop algebras

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Darboux coordinates on coadjoint orbits of Lie algebras

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Isomonodromic and isospectral deformations of meromorphic connections: the \(\mathfrak{sl}_2(\mathbb{C})\) case

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Rational differential systems, loop equations, and application to the \(q\)th reductions of KP

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Mixed correlation function and spectral curve for the 2-matrix model

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Hamiltonian structure of rational isomonodromic deformation systems

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Wild non-abelian Hodge theory on curves

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Symplectic manifolds and isomonodromic deformations

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Simply-laced isomonodromy systems

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Geometry and braiding of Stokes data; fission and wild character varieties

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Hermitian matrix model free energy: Feynman graph technique for all genera

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Quantization of spectral curves for meromorphic Higgs bundles through topological recursion

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Quantization of Classical Spectral Curves via Topological Recursion

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Invariants of algebraic curves and topological expansion

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Topological recursion in enumerative geometry and random matrices

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Sur quelques équations différentielles linéaires du second ordre.

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Isomonodromic deformations: confluence, reduction and quantisation

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Sur les équations différentielles du second ordre et du premier degré dont l'intégrale générale est à points critiques fixes.

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Solution du problème de Riemann pour les systèmes différentiels linéaires du second ordre.

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On the geometry of isomonodromic deformations

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Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. II

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Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. I: General theory and \(\tau \)-function

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Intersection theory on the moduli space of curves and the matrix Airy function

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Isomonodromic deformations of a rational differential system and reconstruction with the topological recursion: The sl2 case

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Sur les équations différentielles du second ordre et d'ordre supérieur dont l'intégrale générale est uniforme.

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Mémoire sur la théorie des fonctions algébriques de deux variables.

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Über eine Klasse von Differentialsystemen beliebiger Ordnung mit festen kritischen Punkten.

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Fundamental two-forms for isomonodromic deformations

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Identifiers

Mathematics Subject Classification ID

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10.1007/S00220-024-05187-0

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Mathematics(1 entry)

mardi Publication:6659452