We survey computations of stable motivic homotopy groups over various fields. The main tools are the motivic Adams spectral sequence, the motivic Adams-Novikov spectral sequence, and the effective slice spectral sequence. We state some projects for future study.
Motivic stable homotopy groups / D. Isaksen, P.A. Oestvaer (CRC PRESS/CHAPMAN AND HALL HANDBOOKS IN MATHEMATICS SERIES). - In: Handbook of Homotopy Theory[s.l] : Haynes Miller, 2020. - ISBN 9780815369707. - pp. 757-791 [10.1201/9781351251624]
Motivic stable homotopy groups
P.A. Oestvaer
2020
Abstract
We survey computations of stable motivic homotopy groups over various fields. The main tools are the motivic Adams spectral sequence, the motivic Adams-Novikov spectral sequence, and the effective slice spectral sequence. We state some projects for future study.
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