Let $\,G\,$ be a finite group and $\,f:Y\to X\,$ 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 $\,E_2$-term is given by the equivariant cohomology of $\,X\,$ with coefficient system depending on the equivariant cohomology of the fibre of $\,f\,$.
雑誌名
Journal of mathematical sciences, the University of Tokyo
巻
4
号
1
ページ
53 - 65
発行年
1997
ISSN
13405705
書誌レコードID
AA11021653
フォーマット
application/pdf
日本十進分類法
415
Mathematical Reviews Number
MR1451303
Mathmatical Subject Classification
55T10(MSC1991)
55N91(MSC1991)
55N30(MSC1991)
出版者
Graduate School of Mathematical Sciences, The University of Tokyo
A Sheaf-Theoretic Approach to the Equivariant Serre Spectral Sequence
jms040103.pdf
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