English

A Freeness Theorem for RO(Z/2)-graded Cohomology

Algebraic Topology 2009-08-27 v1

Abstract

In this paper it is shown that the RO(Z/2)-graded cohomology of a certain class of Rep(Z/2)-complexes, which includes projective spaces and Grassmann manifolds, is always free as a module over the cohomology of a point when the coefficient Mackey functor is \underline{Z/2}.

Keywords

Cite

@article{arxiv.0908.3825,
  title  = {A Freeness Theorem for RO(Z/2)-graded Cohomology},
  author = {William C. Kronholm},
  journal= {arXiv preprint arXiv:0908.3825},
  year   = {2009}
}