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A Grothendieck-Witt space for stable infinity categories with duality

Research paper by Markus Spitzweck

Indexed on: 31 Oct '16Published on: 31 Oct '16Published in: arXiv - Mathematics - K-Theory and Homology



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.