Symplectic geometry on moduli spaces of holomorphic bundles over complex surfaces

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Khesin, Boris; Rosly, Alexei;
  • Subject: Mathematics - Symplectic Geometry | High Energy Physics - Theory | Mathematics - Algebraic Geometry | Mathematics - Differential Geometry
    arxiv: Mathematics::Algebraic Geometry | Mathematics::Symplectic Geometry

We give a comparative description of the Poisson structures on the moduli spaces of flat connections on real surfaces and holomorphic Poisson structures on the moduli spaces of holomorphic bundles on complex surfaces. The symplectic leaves of the latter are classified b... View more
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