Connections on a parabolic principal bundle, II

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In \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.
Canadian Mathematical Bulletin (to appear)

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Algebraic Geometry, 32L05, 14F05

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http://salesiana.dossiersoluciones.com/handle/123456789/123779

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0702278
 http://arxiv.org/abs/math/0702278

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arXiv