Homology, Homotopy and Applications
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In this paper the Serre spectral sequence of Moerdijk and Svensson is extended from Bredon cohomology to RO(G)RO(G)-graded cohomology for finite groups GG. Special attention is paid to the case G=Z/2G=Z/2 where the spectral sequence is used to compute the cohomology of certain projective bundles and loop spaces.
Kronholm, W. C. (2009). The RO(G)-Graded Serre Spectral Sequence. Homology, Homotopy & Applications, 12(1), 77–92. http://dx.doi.org/10.4310/HHA.2010.v12.n1.a7