Elliptic Schlesinger system and Painlevé VI

DOI10.1088/0305-4470/39/39/S05zbMath1115.34082arXivnlin/0602043OpenAlexW2001144078MaRDI QIDQ3418382

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Publication date: 5 February 2007

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0602043

zbMATH Keywords

Hamiltonianelliptic curvePoisson bracketisomonodromy deformationcomplex structure deformation

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) (14D21) Ordinary differential equations on complex manifolds (34M45) Deformations of complex structures (32G05)

Related Items (8)

Planck constant as spectral parameter in integrable systems and KZB equations ⋮ Limit relation between Toda chains and the elliptic \(\mathrm{SL}(N,\mathbb{C})\) top ⋮ The Schlesinger system and isomonodromic deformations of bundles with connections on Riemann surfaces ⋮ Degenerating the elliptic Schlesinger system ⋮ Spectral duality between Heisenberg chain and Gaudin model ⋮ Modifications of bundles, elliptic integrable systems, and related problems ⋮ Quadratic algebras related to elliptic curves ⋮ Characteristic classes and Hitchin systems. General construction

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