Cech cocycles for differential characteristic classes -- An infinity-Lie theoretic construction

@article{Fiorenza2010CechCF,
  title={Cech cocycles for differential characteristic classes -- An infinity-Lie theoretic construction},
  author={Domenico Fiorenza and Urs Schreiber and Jim Stasheff},
  journal={arXiv: Algebraic Topology},
  year={2010}
}
What are called secondary characteristic classes in Chern-Weil theory are a refinement of ordinary characteristic classes of principal bundles from cohomology to differential cohomology. We consider the problem of refining the construction of secondary characteristic classes from cohomology sets to cocycle spaces; and from Lie groups to higher connected covers of Lie groups by smooth infinity-groups, i.e., by smooth groupal A-infinity-spaces. Namely, we realize differential characteristic… 
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