2007/02/10 by Indranil Biswas, Biswas, Indranil · 1 citation
Biochemistry, Genetics and Molecular Biology · Mathematics · Physics and Astronomy · #14F05 #32L05 #Algebraic Geometry (math.AG) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Microtubule and mitosis dynamics #Nonlinear Waves and Solitons #math.AG #msc:14F05 #msc:32L05
paper · pdf · doi:10.48550/arxiv.math/0702278
Canadian Mathematical Bulletin (to appear)
arxiv created 2007/02/10 · openalex publication_date 2007/02/10 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In \citeBi2 (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 \citeBi2 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.