The first stable homotopy groups of motivic spheres
Algebraic Topology
2018-08-15 v2 Algebraic Geometry
K-Theory and Homology
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.
Keywords
Cite
@article{arxiv.1604.00365,
title = {The first stable homotopy groups of motivic spheres},
author = {Oliver Röndigs and Markus Spitzweck and Paul Arne Østvær},
journal= {arXiv preprint arXiv:1604.00365},
year = {2018}
}
Comments
Revised introduction, section 4.2, both figures, and appendix B. To appear in Annals of Mathematics