The connective real K-theory of Brown-Gitler spectra

The connective real K-theory of Brown-Gitler spectra

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 $\Omega$-spectrum for topological real $K$-theory.

Publication
Pearson, P. T. (2014). The connective real K-theory of Brown-Gitler spectra. Algebraic & Geometric Topology, 14(1), 597-625.
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Paul Pearson
Associate Professor of Mathematics

My research interests include algebraic topology, applied mathematics, and machine learning.