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.

Authors

Oliver Röndigs

Institut für Mathematik, Universität Osnabrück, Germany

Markus Spitzweck

Institut für Mathematik, Universität Osnabrück, Germany

Paul Arne Ostvær

Department of Mathematics, University of Oslo, Norway