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EQUIVARIANT UNIVERSAL COEFFICIENT AND KÜNNETH SPECTRAL SEQUENCES

Published online by Cambridge University Press:  20 February 2006

L. GAUNCE LEWIS  and
MICHAEL A. MANDELL
L. GAUNCE LEWIS
Affiliation:
Department of Mathematics, Syracuse University, Syracuse, NY 13244-1150, USAlglewis@syr.edu
MICHAEL A. MANDELL
Affiliation:
Department of Pure Mathematics and Mathematical Statistics, University of Cambridge, Cambridge, CB3 0WB, United KingdomM.A.Mandell@dpmms.cam.ac.uk
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Abstract

This paper constructs hyper-homology spectral sequences of $\mathbb{Z}$-graded and $RO_{G}$-graded Mackey functors that compute $\mathrm{Ext}$ and $\mathrm{Tor}$ over $G$-equivariant $S$-algebras ($A_{\infty}$ ring spectra) for finite groups $G$. These specialize to universal coefficient and K\"unneth spectral sequences.

Keywords

55N91 (primary)55P4355U2055U25 (secondary)
Type
Research Article
Information
Proceedings of the London Mathematical Society , Volume 92 , Issue 2 , March 2006 , pp. 505 - 544
Copyright
2006 London Mathematical Society

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Footnotes

The second author was supported in part by NSF grant DMS-0203980.