Bounded characteristic classes and flat bundles

Abstract : 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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Contributeur : Indira Chatterji <>
Soumis le : jeudi 23 avril 2015 - 20:09:30
Dernière modification le : mardi 5 mars 2019 - 09:30:11

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  • HAL Id : hal-01145333, version 1
  • ARXIV : 1202.4069


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. 〈〉. 〈hal-01145333〉



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