R-Matrix Structure of Hitchin System in Tyurin Parameterization

Abstract

We present a classical $r$-matrix for the Hitchin system without marked points on an arbitrary non-degenerate algebraic curve of genus $g\ge 2$ using Tyurin parameterization of holomorphic vector bundles.

Version in Commun. Math. Phys

References in corpus (4)

• Hitchin Systems - Symplectic Hecke Correspondence and Two-dimensional Version
• Classical R-Matrices and the Feigin-Odesskii Algebra via Hamiltonian and Poisson Reductions
• On dynamical r-matrices obtained from Dirac reduction and their generalizations to affine Lie algebras
• The elliptic Gaudin system with spin

Cited by in corpus (2)

• Hitchin systems on singular curves II. Gluing subschemes
• Three lectures on classical integrable systems and gauge field theories