On the bounded cohomology of Lie groups

Details On the bounded cohomology of Lie groups On the bounded cohomology of Lie groups

2009-04-24

arxiv.org/abs/0904.3841v2

Mathematics

Algebraic Topology

46 pages, new version with added references

Scientific paper

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.

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