Subrings of singular cohomology associated to spectra

Powell, Geoffrey M L

doi:10.2140/agt.2006.6.1037

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Subrings of singular cohomology associated to spectra

Geoffrey M L Powell

Algebraic & Geometric Topology 6 (2006) 1037–1067

DOI: 10.2140/agt.2006.6.1037

arXiv: 0904.2714

Abstract

This paper extends the relation established for group cohomology by Green, Hunton and Schuster between chromatic phenomena in stable homotopy theory and certain natural subrings of singular cohomology. This exploits the theory due to Henn, Lannes and Schwartz of unstable algebras over the Steenrod algebra localized away from nilpotents.

Keywords

Steenrod algebra, unstable module, functor category, Borel cohomology, chromatic filtration

Mathematical Subject Classification 2000

Primary: 55S10, 55N20

Secondary: 18F20

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Publication

Received: 7 July 2005

Accepted: 24 May 2006

Published: 24 August 2006

Authors

Geoffrey M L Powell
Laboratoire Analyse Géométrie et Applications, UMR 7539 Institut Galilée Université Paris 13 93430 Villetaneuse France
http://www.math.univ-paris13.fr/~powell

Volume 6, issue 3 (2006)