R-Matrix Structure of Hitchin System in Tyurin Parameterization

Mathematics – Algebraic Geometry

Scientific paper

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Version in Commun. Math. Phys

Scientific paper

10.1007/s00220-003-0856-y

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.

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