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arXiv · 1202.4069

Bounded characteristic classes and flat bundles

Indira Chatterji·Yves Cornulier·Guido Mislin·Christophe Pittet
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Abstract

Let G be a connected Lie group, G^d the underlying discrete group, and BG, BG^d their classifying spaces. Let R denote the radical of G. We show that all classes in the image of the canonical map in cohomology H^*(BG,R)->H^*(BG^d,R) are bounded if and only if the derived group [R,R] is simply connected. We also give equivalent conditions in terms of stable commutator length and distortion.

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Indira Chatterji, Yves Cornulier, Guido Mislin, Christophe Pittet. 2012-02-18. Bounded characteristic classes and flat bundles. https://arxiv.org/abs/1202.4069

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