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

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

2009-08-26

arxiv.org/abs/0908.3825v1

Mathematics

Algebraic Topology

Scientific paper

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}.

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