Low dimensional Milnor-Witt stems over R

Daniel Dugger; Daniel C. Isaksen

doi:10.2140/akt.2017.2.175

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arXiv · 1502.01007

Low dimensional Milnor-Witt stems over R

Daniel Dugger·Daniel C. Isaksen

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Abstract

This article computes some motivic stable homotopy groups over R. For 0 <= p - q <= 3, we describe the motivic stable homotopy groups of a completion of the motivic sphere spectrum. These are the first four Milnor-Witt stems. We start with the known Ext groups over C and apply the rho-Bockstein spectral sequence to obtain Ext groups over R. This is the input to an Adams spectral sequence, which collapses in our low dimensional range.

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Daniel Dugger, Daniel C. Isaksen. 2015-02-03. Low dimensional Milnor-Witt stems over R. https://doi.org/10.2140/akt.2017.2.175

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