Bounded characteristic classes and flat bundles
Algebraic Topology
2013-10-17 v1 Group Theory
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.
Keywords
Cite
@article{arxiv.1202.4069,
title = {Bounded characteristic classes and flat bundles},
author = {Indira Chatterji and Yves Cornulier and Guido Mislin and Christophe Pittet},
journal= {arXiv preprint arXiv:1202.4069},
year = {2013}
}
Comments
12 pages, no figure