group cohomology, nonabelian group cohomology, Lie group cohomology
cohomology with constant coefficients / with a local system of coefficients
differential cohomology
Equivariant ordinary cohomology is the equivariant cohomology-version of ordinary cohomology.
By default this is often understood to be the Borel equivariant cohomology-version of ordinary cohomology, but more generally this must be understood as Bredon cohomology, i.e. as the proper-equivariant version of ordinary cohomology.
There is a Chern character map from equivariant K-theory to equivariant ordinary cohomology.
(e.g. Stefanich)
Steven Costenoble, Stefan Waner, Equivariant ordinary homology and cohomology, Springer, 2016 (arXiv:math/0310237)
German Stefanich, Chern Character in Twisted and Equivariant K-Theory (pdf)
Discussion over the point but in arbitrary RO(G)-degree:
for equivariance group a dihedral group of order :
for equivariance group the quaternion group:
Last revised on December 22, 2021 at 15:56:35. See the history of this page for a list of all contributions to it.