The first stable homotopy groups of motivic spheres

Markus Spitzweck; Oliver R\"ondigs; Paul Arne {\O}stv{\ae}r

arxiv: 1604.00365 · v2 · pith:SZMZUZUUnew · submitted 2016-04-01 · 🧮 math.AT · math.AG· math.KT

The first stable homotopy groups of motivic spheres

Oliver R\"ondigs , Markus Spitzweck , Paul Arne {\O}stv{\ae}r This is my paper

classification 🧮 math.AT math.AGmath.KT

keywords groupshomotopymotivicspheresstableachievedcharacteristiccompute

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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.

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The first stable homotopy groups of motivic spheres

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