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تسجيل مستخدم جديدThe homotopy groups of the {eta}-periodic motivic sphere spectrum
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We compute the homotopy groups of the {eta}-periodic motivic sphere spectrum over a finite-dimensional field k with characteristic not 2 and in which -1 a sum of four squares. We also study the general characteristic 0 case and show that the {eta}-periodic slice spectral sequence over Q determines the {eta}-periodic slice spectral sequence over all extensions of Q. This leads to a speculation on the role of a connective Witt-theoretic J-spectrum in {eta}-periodic motivic homotopy theory.
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