(see also Chern-Weil theory, parameterized homotopy theory)
group cohomology, nonabelian group cohomology, Lie group cohomology
Hochschild cohomology, cyclic cohomology?
cohomology with constant coefficients / with a local system of coefficients
differential cohomology
For the multiplicative group, a principal infinity-bundle, modulated by a cocycle , classified by a cohomology class in in .
moduli spaces of line n-bundles with connection on -dimensional
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