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$C_2$-equivariant stable
homotopy from real motivic stable homotopy
Mark Behrens and Jay Shah |
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Vol. 5 (2020), No. 3, 411–464
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Abstract |
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We give a method for computing the -equivariant homotopy groups of the Betti realization of a -complete cellular motivic spectrum over in terms of its motivic homotopy groups. More generally, we show that Betti realization presents the -equivariant -complete stable homotopy category as a localization of the -complete cellular real motivic stable homotopy category. |
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Keywords
motivic homotopy groups, equivariant homotopy groups
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Mathematical Subject Classification 2010
Primary: 14F42, 55N91, 55P91, 55Q91
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Milestones
Received: 12 September 2019
Revised: 26 March 2020
Accepted: 12 April 2020
Published: 28 July 2020
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Authors |
| Mark Behrens | |
| Department of Mathematics University of Notre Dame Notre Dame, IN United States |
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| Jay Shah | |
| Department of Mathematics University of Notre Dame Notre Dame, IN United States |
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