A Sheaf-Theoretic Approach to the Equivariant Serre Spectral Sequence
Vol. 4 (1997), No. 1, Page 53--65.
Honkasalo, Hannu
A Sheaf-Theoretic Approach to the Equivariant Serre Spectral Sequence
[Full Article (PDF)] [MathSciNet Review (HTML)] [MathSciNet Review (PDF)]
Abstract:
Let G be a finite group and f:Y→X a Hurewicz G-fibration. Using sheaf-theoretic methods, we show that, under suitable assumptions on the G-spaces X and Y, the equivariant cohomology of Y is the limit of a spectral sequence, whose E2-term is given by the equivariant cohomology of X with coefficient system depending on the equivariant cohomology of the fibre of f.
Mathematics Subject Classification (1991): 55T10, 55N91, 55N30
Mathematical Reviews Number: MR1451303
Received: 1995-12-11
