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Article Dans Une Revue Quarterly Journal of Mathematics Année : 2016

Flat Bundles With Complex Analytic Holonomy

Résumé

Let G be a connected complex Lie group or a connected amenable Lie group. We show that any flat principal G-bundle over any finite CW-complex pulls back to a trivial G-bundle over some finite covering space of the base space if and only if the derived group of the radical of G is simply connected. In particular, if G is a connected compact Lie group or a connected complex reductive Lie group, then any flat principal G-bundle over any finite CW-complex pulls back to a trivial G-bundle over some finite covering space of the base space.

Dates et versions

hal-01484561 , version 1 (12-03-2017)

Identifiants

Citer

Indira Chatterji, G Mislin, Ch Pittet. Flat Bundles With Complex Analytic Holonomy. Quarterly Journal of Mathematics, 2016, pp.0 - 1. ⟨10.1093/qmath/haw030⟩. ⟨hal-01484561⟩
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