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arXiv · 1505.01476

The Structure of Motivic Homotopy Groups

Bogdan Gheorghe·Daniel C. Isaksen
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Abstract

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

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Bogdan Gheorghe, Daniel C. Isaksen. 2015-05-06. The Structure of Motivic Homotopy Groups. https://arxiv.org/abs/1505.01476

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