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math.AT2011★ 1 cited
On the equivariant cohomology of rotation groups and Stiefel manifolds
William Kronholm
In this paper, we compute the -graded equivariant cohomology of rotation groups and Stiefel manifolds with particular involutions.
math.AT2009★ 1 cited
The RO(G)-Graded Serre Spectral Sequence
William C. Kronholm
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 t…
math.AT2009★ 5 cited
A Freeness Theorem for RO(Z/2)-graded Cohomology
William C. Kronholm
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…