Bounded characteristic classes and flat bundles

Details Bounded characteristic classes and flat bundles Bounded characteristic classes and flat bundles

2012-02-18

arxiv.org/abs/1202.4069v1

Mathematics

Algebraic Topology

12 pages, no figure

Scientific paper

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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