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FLAT BUNDLES WITH COMPLEX ANALYTIC HOLONOMY.
- Source :
-
Quarterly Journal of Mathematics . Dec2016, Vol. 67 Issue 4, p743-755. 13p. - Publication Year :
- 2016
-
Abstract
- 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. [ABSTRACT FROM AUTHOR]
- Subjects :
- *HOLONOMY groups
*DIFFERENTIAL geometry
*LIE groups
*HOMOMORPHISMS
*MATHEMATICS
Subjects
Details
- Language :
- English
- ISSN :
- 00335606
- Volume :
- 67
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Quarterly Journal of Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 119931878
- Full Text :
- https://doi.org/10.1093/qmath/haw030