Homology, Homotopy and Applications

The $RO(G)$-graded Serre spectral sequence

William C. Kronholm

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Abstract

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 the case $G= \mathbb{Z}/2$ where the spectral sequence is used to compute the cohomology of certain projective bundles and loop spaces.

Article information

Source
Homology Homotopy Appl., Volume 12, Number 1 (2010), 75-92.

Dates
First available in Project Euclid: 28 January 2011

Permanent link to this document
https://projecteuclid.org/euclid.hha/1296223823

Mathematical Reviews number (MathSciNet)
MR2607411

Zentralblatt MATH identifier
1195.55014

Subjects
Primary: 55T10: Serre spectral sequences 55N25: Homology with local coefficients, equivariant cohomology 55N91: Equivariant homology and cohomology [See also 19L47]

Keywords
Spectral sequence algebraic topology local coefficient equivariant homology and cohomology

Citation

Kronholm, William C. The $RO(G)$-graded Serre spectral sequence. Homology Homotopy Appl. 12 (2010), no. 1, 75--92. https://projecteuclid.org/euclid.hha/1296223823


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