The cohomology of c2-equivariant a(1) and the homotopy of koc2

Bertrand J. Guillou, Michael A. Hill, Daniel C. Isaksen, Douglas Conner Ravenel

Research output: Contribution to journalArticlepeer-review

12 Scopus citations

Abstract

We compute the cohomology of the subalgebra AC2(1) of the C2-equivariant Steenrod algebra AC2. This serves as the input to the C2-equivariant Adams spectral sequence converging to the completed RO(C2)-graded homotopy groups of an equivariant spectrum koC2 . Our approach is to use simpler ℂ-motivic and ℝ-motivic calculations as stepping stones.

Original languageEnglish
Pages (from-to)567-632
Number of pages66
JournalTunisian Journal of Mathematics
Volume2
Issue number3
DOIs
StatePublished - 2020

Bibliographical note

Publisher Copyright:
© 2020, Mathematical Science Publishers. All rights reserved.

Keywords

  • Adams spectral sequence
  • Cohomology of the Steenrod algebra
  • Equivariant K-theory
  • Equivariant homotopy
  • Motivic homotopy

ASJC Scopus subject areas

  • General Mathematics

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