The first stable homotopy groups of motivic spheres
  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. 
Oliver R\"ondigs, Markus Spitzweck, Paul Arne {\O}stv{\ae}r
math.AT math.AG math.KT