Motivic Hopf elements and relations
Algebraic Topology
2013-07-29 v2
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.
Cite
@article{arxiv.1307.6596,
title = {Motivic Hopf elements and relations},
author = {Daniel Dugger and Daniel C. Isaksen},
journal= {arXiv preprint arXiv:1307.6596},
year = {2013}
}