January 2019 The first stable homotopy groups of motivic spheres
Oliver Röndigs, Markus Spitzweck, Paul Østvær
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Ann. of Math. (2) 189(1): 1-74 (January 2019). DOI: 10.4007/annals.2019.189.1.1

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.

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Oliver Röndigs. Markus Spitzweck. Paul Østvær. "The first stable homotopy groups of motivic spheres." Ann. of Math. (2) 189 (1) 1 - 74, January 2019. https://doi.org/10.4007/annals.2019.189.1.1

Information

Published: January 2019
First available in Project Euclid: 21 December 2021

Digital Object Identifier: 10.4007/annals.2019.189.1.1

Subjects:
Primary: 14F42 , 55Q45

Keywords: Morel's $\pi_{1}$-conjecture , slices and the slice spectral sequence , Stable homotopy of motivic spheres

Rights: Copyright © 2019 Department of Mathematics, Princeton University

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Vol.189 • No. 1 • January 2019
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