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Article Dans Une Revue Journal of Differential Geometry Année : 2013

Bounded characteristic classes and flat bundles

Résumé

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.

Dates et versions

hal-01145333 , version 1 (23-04-2015)

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Citer

Indira Chatterji, Yves de Cornulier, Guido Mislin, Christophe Pittet. Bounded characteristic classes and flat bundles. Journal of Differential Geometry, 2013, 95 (1), pp.39 - 51. ⟨10.4310/jdg/1375124608⟩. ⟨hal-01145333⟩
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