Inverting the Hopf map
Algebraic Topology
2017-10-24 v1
Abstract
We calculate the -localization of the motivic stable homotopy ring over the complex numbers, confirming a conjecture of Guillou and Isaksen. Our approach is via the motivic Adams-Novikov spectral sequence. In fact, work of Hu, Kriz, and Ormsby implies that it suffices to compute the corresponding localization of the classical Adams-Novikov -term, and this is what we do. Guillou and Isaksen also proposed a pattern of differentials in the localized motivic classical Adams spectral sequence, which we verify using a method first explored by Novikov.
Keywords
Cite
@article{arxiv.1710.08018,
title = {Inverting the Hopf map},
author = {Michael Andrews and Haynes Miller},
journal= {arXiv preprint arXiv:1710.08018},
year = {2017}
}