Geodesic
The first stable homotopy groups of motivic spheres
Oliver Röndigs1 ; Markus Spitzweck1 ; Paul Arne Ostvær2
1 Institut für Mathematik, Universität Osnabrück, Germany
2 Department of Mathematics, University of Oslo, Norway
Annals of mathematics, Tome 189 (2019) no. 1, pp. 1-74

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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.

DOI : 10.4007/annals.2019.189.1.1

Oliver Röndigs 1 ; Markus Spitzweck 1 ; Paul Arne Ostvær 2

1 Institut für Mathematik, Universität Osnabrück, Germany
2 Department of Mathematics, University of Oslo, Norway 
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Oliver Röndigs; Markus Spitzweck; Paul Arne Ostvær. The first stable homotopy groups  of motivic spheres. Annals of mathematics, Tome 189 (2019) no. 1, pp. 1-74. doi: 10.4007/annals.2019.189.1.1

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