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arXiv · 1612.04728

Some Remarks on Units in Grothendieck-Witt Rings

Tom Bachmann
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Abstract

We establish new structures on Grothendieck-Witt rings, including a GW(k)-module structure on the unit group GW(k)^x and a presentation of \ul{GW}^x as an infinite Gm-loop sheaf. Even though our constructions are motivated by speculations in stable A1-homotopy theory, our arguments are purely algebraic.

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Tom Bachmann. 2016-12-14. Some Remarks on Units in Grothendieck-Witt Rings. https://arxiv.org/abs/1612.04728

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