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arXiv · 1307.6596

Motivic Hopf elements and relations

Daniel Dugger·Daniel C. Isaksen
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Abstract

We use Cayley-Dickson algebras to produce Hopf elements eta, nu and sigma in the motivic stable homotopy groups of spheres, and we prove via geometric arguments that the the products eta*nu and nu*sigma both vanish. Along the way we develop several basic facts about the motivic stable homotopy ring.

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Daniel Dugger, Daniel C. Isaksen. 2013-07-26. Motivic Hopf elements and relations. https://arxiv.org/abs/1307.6596

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