Spectral curve and Hamiltonian structure of isomonodromic SU(2) Calogero–Gaudin system

DOI10.1063/1.1591053zbMath1062.37056arXivnlin/0111019OpenAlexW1997866948MaRDI QIDQ4833101

Kanehisa Takasaki

Publication date: 14 December 2004

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

Full work available at URL: https://arxiv.org/abs/nlin/0111019

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Groups and algebras in quantum theory and relations with integrable systems (81R12) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35)

Related Items (3)

Monodromy dependence and symplectic geometry of isomonodromic tau functions on the torus ⋮ Isomonodromic tau functions on a torus as Fredholm determinants, and charged partitions ⋮ Circular quiver gauge theories, isomonodromic deformations and \(W_N\) fermions on the torus

Cites Work

• Hitchin systems, higher Gaudin operators and \(R\)-matrices
• SUPER KRICHEVER FUNCTOR
• Unnamed Item

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