Proceedings of the Arnoldfest SYMPLECTIC GEOMETRY ON MODULI SPACES OF HOLOMORPHIC BUNDLES OVER COMPLEX SURFACES
نویسنده
چکیده
We give a comparative description of the Poisson structures on the moduli spaces of at 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 classiied by restrictions of the bundles to certain divisors. This can be regarded as xing a \complex analogue of the holonomy" of a connection along a \complex analogue of the boundary" in analogy with the real case.
منابع مشابه
Symplectic Geometry on Moduli Spaces of Holomorphic Bundles over Complex Surfaces
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 by restrictions of the bundles to certain divisors. This can be regarded as fixing a “complex analogue of the holonomy” of a con...
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