Open Access
September 2013 Bounded characteristic classes and flat bundles
Indira Chatterji, Yves de Cornulier, Guido Mislin, Christophe Pittet
J. Differential Geom. 95(1): 39-51 (September 2013). DOI: 10.4310/jdg/1375124608


Let $G$ be a connected Lie group. We show that all characteristic classes of $G$ are bounded—when viewed in the cohomology of the classifying space of the group $G$ with the discrete topology—if and only if the derived group of the radical of $G$ is simply connected in its Lie group topology. We also give equivalent conditions in terms of stable commutator length and distortion.


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Indira Chatterji. Yves de Cornulier. Guido Mislin. Christophe Pittet. "Bounded characteristic classes and flat bundles." J. Differential Geom. 95 (1) 39 - 51, September 2013.


Published: September 2013
First available in Project Euclid: 29 July 2013

zbMATH: 1278.55028
MathSciNet: MR3128978
Digital Object Identifier: 10.4310/jdg/1375124608

Rights: Copyright © 2013 Lehigh University

Vol.95 • No. 1 • September 2013
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