The Generalized Slices of Hermitian K-Theory
K-Theory and Homology
2017-11-21 v3 Algebraic Geometry
Algebraic Topology
Abstract
We compute the generalized slices (as defined by Spitzweck-{\O}stv{\ae}r) of the motivic spectrum KO (representing hermitian K-theory) in terms of motivic cohomology and (a version of) generalized motivic cohomology, obtaining good agreement with the situation in classical topology and the results predicted by Markett-Schlichting. As an application, we compute the homotopy sheaves of (this version of) generalized motivic cohomology, which establishes a version of a conjecture of Morel.
Keywords
Cite
@article{arxiv.1610.01346,
title = {The Generalized Slices of Hermitian K-Theory},
author = {Tom Bachmann},
journal= {arXiv preprint arXiv:1610.01346},
year = {2017}
}
Comments
accepted for publication by the Journal of Topology