Units in Grothendieck-Witt rings and A¹-spherical fibrations
classification
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keywords
fibrationsgrothendieck-wittringssphericalunitsabeliancategoryclassifying
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In this note, we show that the units in Grothendieck-Witt rings extend to an unramified strictly A^1-invariant sheaf of abelian groups on the category of smooth schemes. This implies that there is an A^1-local classifying space of spherical fibrations.
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