Koszul duality and equivariant cohomology for tori
Algebraic Topology
2007-10-22 v1
Abstract
Let T be a torus. We show that Koszul duality can be used to compute the equivariant cohomology of topological T-spaces as well as the cohomology of pull backs of the universal T-bundle. The new features are that no further assumptions about the spaces are made and that the coefficient ring may be arbitrary. This gives in particular a Cartan-type model for the equivariant cohomology of a T-space with arbitrary coefficients. Our method works for intersection homology as well.
Cite
@article{arxiv.math/0301083,
title = {Koszul duality and equivariant cohomology for tori},
author = {Matthias Franz},
journal= {arXiv preprint arXiv:math/0301083},
year = {2007}
}
Comments
37 pages; to appear in Int. Math. Res. Not