A Grothendieck-Witt space for stable infinity categories with duality
K-Theory and Homology
2016-11-01 v1 Algebraic Topology
Category Theory
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.
Cite
@article{arxiv.1610.10044,
title = {A Grothendieck-Witt space for stable infinity categories with duality},
author = {Markus Spitzweck},
journal= {arXiv preprint arXiv:1610.10044},
year = {2016}
}
Comments
18 pages