arXiv subjects

William C. Kronholm

Publications and source records attributed to William C. Kronholm.

2 recordsLinked to original sources

arXiv2009

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

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}.

math.AT↗

arXiv2009

The RO(G)-Graded Serre Spectral Sequence

In this paper the Serre spectral sequence of Moerdijk and Svensson is extended from Bredon cohomology to RO(G)-graded cohomology for finite groups G. Special attention is paid to the case G=Z/2 where the spectral sequence is used to compute the cohomology of certain projective bundles and loop spaces.

math.AT↗