Vol. 5, No. 3, 2020

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$C_2$-equivariant stable homotopy from real motivic stable homotopy

Mark Behrens and Jay Shah

Vol. 5 (2020), No. 3, 411–464

We give a method for computing the C2-equivariant homotopy groups of the Betti realization of a p-complete cellular motivic spectrum over in terms of its motivic homotopy groups. More generally, we show that Betti realization presents the C2-equivariant p-complete stable homotopy category as a localization of the p-complete cellular real motivic stable homotopy category.

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motivic homotopy groups, equivariant homotopy groups
Mathematical Subject Classification 2010
Primary: 14F42, 55N91, 55P91, 55Q91
Received: 12 September 2019
Revised: 26 March 2020
Accepted: 12 April 2020
Published: 28 July 2020
Mark Behrens
Department of Mathematics
University of Notre Dame
Notre Dame, IN
United States
Jay Shah
Department of Mathematics
University of Notre Dame
Notre Dame, IN
United States