The Structure of Motivic Homotopy Groups

preprint2015arXivOpen access

Abstract

We study the stable motivic homotopy groups πs,wπ_{s,w} of the 2-completion of the motivic sphere spectrum over C\mathbb{C}. When arranged in the (s,w)(s,w)-plane, these groups break into four different regions: a vanishing region, an ηη-local region that is entirely known, a ττ-local region that is identical to classical stable homotopy groups, and a region that is not well-understood.

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