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arXiv · 1311.4179

The Adams-Novikov spectral sequence and Voevodsky's slice tower

Marc Levine
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Abstract

We show that the spectral sequence converging to the stable homotopy groups of spheres, induced by the Betti realization of the slice tower for the motivic sphere spectrum, agrees with the Adams-Novikov spectral sequence, after a suitable re-indexing. The proof relies on an extension of Deligne's décalage construction to the Tot-tower of a cosimplicial spectrum.

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Marc Levine. 2015-10-03. The Adams-Novikov spectral sequence and Voevodsky's slice tower. https://doi.org/10.2140/gt.2015.19.2691

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