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Article Dans Une Revue Mathematische Annalen Année : 2011

A geometric criterion for the boundedness of characteristic classes

Résumé

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.

Dates et versions

hal-00470794 , version 1 (07-04-2010)

Identifiants

Citer

Indira Chatterji, Guido Mislin, Christophe Pittet, Laurent Saloff-Coste. A geometric criterion for the boundedness of characteristic classes. Mathematische Annalen, 2011, 351 (3), pp.541 - 569. ⟨10.1007/s00208-010-0610-7⟩. ⟨hal-00470794⟩
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