The connective real K–theory of Brown–Gitler spectra

Pearson, Paul Thomas¹

¹Department of Mathematics, Hope College, Holland, MI 49422-9000, USA

Algebraic and Geometric Topology, Tome 14 (2014) no. 1, pp. 597-625

Résumé

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.

Détail

DOI : 10.2140/agt.2014.14.597

Classification : 55T25, 55P42
Keywords: Hopf ring, Dieudonné ring, topological real $K\!$–theory

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