The first stable homotopy groups of motivic spheres

Abstract

We compute the 1-line of stable homotopy groups of motivic spheres over fields of characteristic not two in terms of hermitian and Milnor K-groups. This is achieved by solving questions about convergence and differentials in the slice spectral sequence.

arXiv commentRevised introduction, section 4.2, both figures, and appendix B. To appear in Annals of Mathematics