The connective real K–theory of Brown–Gitler spectra

Pearson, Paul Thomas

doi:10.2140/agt.2014.14.597

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The connective real $K\!$–theory of Brown–Gitler spectra

Paul Thomas Pearson

Algebraic & Geometric Topology 14 (2014) 597–625

DOI: 10.2140/agt.2014.14.597

Abstract

We calculate the connective real $K$ –theory homology of the mod $2$ Brown–Gitler spectra. We use this calculation and the theory of Dieudonné rings and Hopf rings to determine the mod $2$ homology of the spaces in the connective $Ω$ –spectrum for topological real $K$ –theory.

Keywords

Hopf ring, Dieudonné ring, topological real $K\!$–theory

Mathematical Subject Classification 2010

Primary: 55T25

Secondary: 55P42

References

Publication

Received: 30 October 2011

Revised: 5 August 2013

Accepted: 27 August 2013

Published: 23 January 2014

Authors

Paul Thomas Pearson
Department of Mathematics Hope College Holland, MI 49422-9000 USA
http://paultpearson.wordpress.com/

Volume 14, issue 1 (2014)