group cohomology, nonabelian group cohomology, Lie group cohomology
cohomology with constant coefficients / with a local system of coefficients
differential cohomology
Integral cohomology or “ordinary cohomology” is the ordinary version of generalized (Eilenberg-Steenrod) cohomology, the one that is represented by the Eilenberg-MacLane spectrum.
Integral cohomology is best known maybe in its incarnation as singular cohomology or Čech cohomology with coefficients in the integers.
integral cohomology in degree 1 classifies complex line bundle;
integral cohomology in degree 2 classifies complex line bundle gerbe / line 2-bundles;
integral cohomology in degree $n$ classifies line n-bundles .
Last revised on December 19, 2009 at 03:21:02. See the history of this page for a list of all contributions to it.