The Atiyah-Hitchin bracket and the open Toda lattice.

DOI10.1016/S0393-0440(02)00135-3zbMath1064.37048arXivmath-ph/0202047OpenAlexW3102851160MaRDI QIDQ1811987

K. L. Vaninskij

Publication date: 18 June 2003

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0202047

zbMATH Keywords

Poisson bracketsToda latticeHerglotz functionsDirac reductionresolvent of a matrixStieltjes continued-fraction expansion

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Poisson manifolds; Poisson groupoids and algebroids (53D17) Relationships between algebraic curves and integrable systems (14H70) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Algebraic geometry methods for problems in mechanics (70G55)

Related Items (5)

MULTIPLE HAMILTONIAN STRUCTURE OF BOGOYAVLENSKY–TODA LATTICES ⋮ Darboux-Nijenhuis variables for open generalized Toda chains ⋮ The hierarchy of Poisson brackets for the open Toda lattice and its spectral curves ⋮ On a class of representations of the Yangian and moduli space of monopoles ⋮ The AdaBoost Flow

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