Outline Construction
Equivariant cohomology can be constructed as the ordinary cohomology of a suitable space determined by and, called the homotopy orbit space
- of
on . (The 'h' distinguishes it from the ordinary orbit space .)
If is the trivial group this space will turn out to be just itself, whereas if is contractible the space will be a classifying space for .
Read more about this topic: Equivariant Cohomology
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