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The cohomology of
$C_2$-equivariant $\mathcal{A}(1)$ and the homotopy of
$ko_{C_2}$
Bertrand J. Guillou, Michael A. Hill, Daniel C. Isaksen and Douglas Conner Ravenel |
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Vol. 2 (2020), No. 3, 567–632
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Abstract |
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We compute the cohomology of the subalgebra of the -equivariant Steenrod algebra . This serves as the input to the -equivariant Adams spectral sequence converging to the completed -graded homotopy groups of an equivariant spectrum . Our approach is to use simpler -motivic and -motivic calculations as stepping stones. |
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Keywords
Adams spectral sequence, motivic homotopy, equivariant
homotopy, equivariant K-theory, cohomology of the Steenrod
algebra
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Mathematical Subject Classification 2010
Primary: 14F42, 55Q91, 55T15
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Milestones
Received: 12 December 2018
Revised: 15 July 2019
Accepted: 30 July 2019
Published: 9 October 2019
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Authors |
| Bertrand J. Guillou | |
| Department of Mathematics The University of Kentucky Lexington, KY United States |
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| Michael A. Hill | |
| Department of Mathematics University of California Los Angeles, CA United States |
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| Daniel C. Isaksen | |
| Department of Mathematics Wayne State University Detroit, MI United States |
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| Douglas Conner Ravenel | |
| Department of Mathematics University of Rochester NY United States |
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