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The cooperations of MU∗(CP∞) and MU∗(HP∞) and the primitive generators

Authors
Journal
Journal of Pure and Applied Algebra
0022-4049
Publisher
Elsevier
Publication Date
Volume
14
Issue
3
Identifiers
DOI: 10.1016/0022-4049(79)90050-1
Disciplines
  • Mathematics

Abstract

Abstract We review the Adams-Quillen description of the MU ∗(MU) comodule structure on MU ∗(CP ∞) (Section 1) and obtain a workable formula for the comodule structure on MU ∗(HP ∞) (Section 3). We use this to obtain a complete picture of the bottom rows of the Adams–Novikov spectral sequences for CP ∞ (Section 2) and HP ∞ (Section 4). In the process we make note of a very convenient form of the Hattori–Stong theorem due to Liulevicius (Section 2) and describe the standard map H ∗( MSp;Z)→H ∗( MU;Z) (Section 3) by arguments on algebras of symmetric functions.

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