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Čech cocycles for differential characteristic classes: an ∞-Lie theoretic construction

Čech cocycles for differential characteristic classes: an ∞-Lie theoretic construction

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 …