2021-12-06T03:41:54Zhttps://repository.dl.itc.u-tokyo.ac.jp/oaioai:repository.dl.itc.u-tokyo.ac.jp:000403062021-03-01T21:02:14ZA Sheaf-Theoretic Approach to the Equivariant Serre Spectral SequenceHonkasalo, Hannu138903415application/pdfLet $\,G\,$ 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 $\,f\,$.departmental bulletin paperGraduate School of Mathematical Sciences, The University of Tokyo1997application/pdfJournal of mathematical sciences, the University of Tokyo145365AA1102165313405705https://repository.dl.itc.u-tokyo.ac.jp/record/40306/files/jms040103.pdfeng