On the zero slice of the sphere spectrum
Algebraic Geometry
2007-05-23 v1 Algebraic Topology
Abstract
In this paper we prove over fields of characteristic zero that the zero slice of the motivic sphere spectrum is the motivic Eilenberg-Maclane spectrum. As a corollary one concludes that the slices of any spectrum are modules over the motivic Eilenberg-MacLane spectrum. To prove our result we analyze the unstable homotopy type of the symmetric powers of the T-sphere.
Cite
@article{arxiv.math/0301013,
title = {On the zero slice of the sphere spectrum},
author = {Vladimir Voevodsky},
journal= {arXiv preprint arXiv:math/0301013},
year = {2007}
}