Separation of variables for type $D_n$ Hitchin systems on hyperelliptic curves

Abstract

We use separation of variables to find explicit formulas for the Darboux coordinates for the Hitchin systems on a hyprelliptic curve for simple Lie algebras of type $D_n$.

arXiv commentLaTeX, 4 pages, submitted to "Russian Mathematical Surveys"

References in corpus (2)

• Spectral curves of the hyperelliptic Hitchin systems
• Riemann bilinear form and Poisson structure in Hitchin-type systems

Cited by in corpus (1)

• Hitchin systems on hyperelliptic curves