Symplectic geometry on moduli spaces of holomorphic bundles over complex surfaces

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dc.creatorKhesin, Boris
dc.creatorRosly, Alexei
dc.date2000-09-01
dc.date.accessioned2026-07-07T11:10:38Z
dc.date.available2026-07-07T11:10:38Z
dc.descriptionWe 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 connection along a "complex analogue of the boundary" in analogy with the real case.
dc.description15 pages
dc.identifierhttps://arxiv.org/abs/math/0009013
dc.identifierhttp://arxiv.org/abs/math/0009013
dc.identifierFieldsInst.Commun.24:311-323,1999
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/190834
dc.subjectAlgebraic Geometry
dc.subjectHigh Energy Physics - Theory
dc.subjectDifferential Geometry
dc.subjectSymplectic Geometry
dc.titleSymplectic geometry on moduli spaces of holomorphic bundles over complex surfaces
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