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arXiv · 1012.5630

The slice filtration and Grothendieck-Witt groups

Marc Levine
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Abstract

Let k be a perfect field of characteristic different from two. We show that the filtration on the Grothendieck-Witt group GW(k) induced by the slice filtration for the sphere spectrum in the motivic stable homotopy category is the I-adic filtration, where I is the augmentation ideal in GW(k).

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Marc Levine. 2010-12-27. The slice filtration and Grothendieck-Witt groups. https://arxiv.org/abs/1012.5630

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