Connections on a parabolic principal bundle, II

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dc.creatorBiswas, Indranil
dc.date2007-02-10
dc.date.accessioned2026-07-07T07:46:17Z
dc.date.available2026-07-07T07:46:17Z
dc.descriptionIn \cite{Bi2} (Canad. Jour. Math. Vol. 58) we defined connections on a parabolic principal bundle. While connections on usual principal bundles are defined as splittings of the Atiyah exact sequence, it was noted in \cite{Bi2} that the Atiyah exact sequence does not generalize to the parabolic principal bundles. Here we show that a twisted version of the Atiyah exact sequence generalize to the context of parabolic principal bundles. For usual principal bundles, giving a splitting of this twisted Atiyah exact sequence is equivalent to giving a splitting of the Atiyah exact sequence. Connections on a parabolic principal bundle can be defined using the generalization of the twisted Atiyah exact sequence.
dc.descriptionCanadian Mathematical Bulletin (to appear)
dc.identifierhttps://arxiv.org/abs/math/0702278
dc.identifierhttp://arxiv.org/abs/math/0702278
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/123779
dc.subjectAlgebraic Geometry
dc.subject32L05, 14F05
dc.titleConnections on a parabolic principal bundle, II
dc.typetext

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