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A Grothendieck-Witt space for stable infinity categories with duality
Published 31 Oct 2016 in math.KT, math.AT, and math.CT | (1610.10044v1)
Abstract: We construct a Grothendieck-Witt space for any stable infinity category with duality. If we apply our construction to perfect complexes over a commutative ring in which 2 is invertible we recover the classical Grothendieck-Witt space. Our Grothendieck-Witt space is a grouplike E-infinity space which is part of a genuine C_2-spectrum, the connective real K-theory spectrum.
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