The Connective Real K-theory Of Brown-Gitler Spectra

Authors

Paul Thomas Pearson, Hope CollegeFollow

Document Type

Article

Publication Date

2014

Publication Source

Algebraic And Geometric Topology

Volume Number

14

Issue Number

1

First Page

597

Last Page

625

Publisher

Geometry & Topology Publications

ISSN

1472-2739

Abstract

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

Keywords

Hopf ring, Dieudonné ring, topological real K–theory

Recommended Citation

Pearson, Paul Thomas. 2014. “The Connective Real K –theory of Brown–Gitler Spectra.” Algebraic & Geometric Topology 14 (1): 597–625. doi:10.2140/agt.2014.14.597.