A Grothendieck-Witt space for stable infinity categories with duality

Markus Spitzweck

arxiv: 1610.10044 · v1 · pith:6D24HIWUnew · submitted 2016-10-31 · 🧮 math.KT · math.AT· math.CT

A Grothendieck-Witt space for stable infinity categories with duality

Markus Spitzweck This is my paper

classification 🧮 math.KT math.ATmath.CT

keywords spacegrothendieck-wittdualityinfinityspectrumstableapplycategories

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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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