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.
|Number of pages||66|
|Journal||Tunisian Journal of Mathematics|
|State||Published - 2020|
Bibliographical noteFunding Information:
The authors were supported by NSF grants DMS-1710379, DMS-1509652, DMS-1606290, and DMS-1606623 and by Simons Collaboration Grant No. 282316.
© 2020, Mathematical Science Publishers. All rights reserved.
- Adams spectral sequence
- Cohomology of the Steenrod algebra
- Equivariant K-theory
- Equivariant homotopy
- Motivic homotopy
ASJC Scopus subject areas
- Mathematics (all)