Riemann bilinear form and Poisson structure in Hitchin-type systems

Details Riemann bilinear form and Poisson structure in Hitchin-type systems Riemann bilinear form and Poisson structure in Hitchin-type systems

2003-04-10

arxiv.org/abs/hep-th/0304099v1

Physics

High Energy Physics

High Energy Physics - Theory

15 pages

Scientific paper

In this paper we reinterpret the Poisson structure of the Hitchin-type system in cohomological terms. The principal ingredient of a new interpretation in the case of the Beauville system is the meromorphic cohomology of the spectral curve, and the main result is the identification of the Riemann bilinear form and the symplectic structure of the model. Eventual perspectives of this approach lie in the quantization domain.

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