Journal of Homotopy and Related Structures

, Volume 11, Issue 3, pp 469–491

The mod 2 Hopf ring for connective Morava K-theory

Article

DOI: 10.1007/s40062-015-0113-z

Cite this article as:
Pearson, P.T. J. Homotopy Relat. Struct. (2016) 11: 469. doi:10.1007/s40062-015-0113-z
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Abstract

This paper examines the mod 2 homology of the spaces in the Omega-spectrum for connective Morava K-theory, i.e., the mod 2 Hopf ring for connective Morava K-theory. A natural set of generators for this Hopf ring arising from the homology and homotopy of the connective Morava K-theory spectrum is calculated and the non-trivial circle product relations among the generators arising from homology and homotopy are determined. This Hopf ring calculation is accomplished using Dieudonné ring theory and Adams spectral sequences for the connective Morava K-theory of Brown–Gitler spectra.

Keywords

Hopf ring Dieudonné ring Morava K-theory  Brown–Gitler spectra 

Mathematics Subject Classification

Primary 55T25 55P42 55P47 55S12 55S15 

Copyright information

© Tbilisi Centre for Mathematical Sciences 2015

Authors and Affiliations

  1. 1.Department of MathematicsHope CollegeHollandUSA