On the zero slice of the sphere spectrum

Details On the zero slice of the sphere spectrum On the zero slice of the sphere spectrum

2003-01-02

arxiv.org/abs/math/0301013v1

Mathematics

Algebraic Geometry

Scientific paper

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.

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