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arXiv · 0908.3124

A theory of base motives

Jack Morava
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Abstract

A category of correspondences based on Waldhausen A-theory has interesting analogies, in the context of differential topology, to categories of mixed Tate motives studied in arithmetic geometry. In particular, the Hopf object S \wedge_A S (regarding A(*) as a kind of local ring over the sphere spectrum) has some similarities to a motivic group for this category; its associated rational Lie algebra is free, on odd-degree generators...

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Jack Morava. 2009-08-21. A theory of base motives. https://arxiv.org/abs/0908.3124

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