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Units in Grothendieck-Witt rings and A^1-spherical fibrations

Published 22 Apr 2013 in math.AT | (1304.5922v1)

Abstract: In this note, we show that the units in Grothendieck-Witt rings extend to an unramified strictly A1-invariant sheaf of abelian groups on the category of smooth schemes. This implies that there is an A1-local classifying space of spherical fibrations.

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