paper

On the bounded cohomology of Lie groups

arXiv:0904.3841

Abstract

We show that each integral Borel cohomology class of a connected Lie group G can be represented by a Borel bounded cocycle if and only if the radical of G is linear. This leads to a generalization of Gromov's boundedness theorem on characteristic classes of flat bundles.

46 pages, new version with added references

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