Complex Structures on Principal Bundles

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dc.creatorLaubinger, Martin
dc.date2007-08-23
dc.date.accessioned2026-07-07T08:25:21Z
dc.date.available2026-07-07T08:25:21Z
dc.descriptionHolomorphic principal G-bundles over a complex manifold M can be studied using non-abelian cohomology groups H^1(M,G). On the other hand, if M=Σis a closed Riemann surface, there is a correspondence between holomorphic principal G-bundles over Σand coadjoint orbits in the dual of a central extension of the Lie algebra C^\infty(Σ, \g). We review these results and provide the details of an integrability condition for almost complex structures on smoothly trivial bundles. This article is a shortened version of the author's Diplom thesis.
dc.description17 pages
dc.identifierhttps://arxiv.org/abs/0708.3261
dc.identifierhttp://arxiv.org/abs/0708.3261
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/136626
dc.subjectDifferential Geometry
dc.subjectComplex Variables
dc.subject58D27; 81R10; 32Q60
dc.titleComplex Structures on Principal Bundles
dc.typetext

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