Nonautonomous Hamiltonian systems related to higher Hitchin integrals

DOI10.1007/BF02551395zbMath0970.37044arXivmath-ph/9904023MaRDI QIDQ1592122

Andrey M. Levin, Mikhail A. Olshanetsky

Publication date: 15 October 2001

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/9904023

zbMATH Keywords

Hitchin integrable systems\({\mathcal W}\)-structurehigher-genus Riemann curve

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Moduli and deformations for ordinary differential equations (e.g., Knizhnik-Zamolodchikov equation) (32G34)

Related Items

Painlevé VI, rigid tops and reflection equation, Modifications of bundles, elliptic integrable systems, and related problems, On the geometry of isomonodromic deformations, Elliptic Calogero–Moser systems and isomonodromic deformations

Cites Work

• Stable bundles and integrable systems
• On the Hitchin system
• On the Hamiltonian and Lagrangian structures of time-dependent reductions of evolutionary PDEs
• Holomorphic bundles and many-body systems
• The τ‐function of the universal whitham hierarchy, matrix models and topological field theories
• Unnamed Item