2016/10/31 by Tom Bachmann · 2 citations
Mathematics · #math.KT #math.AG #math.AT
paper · pdf · doi:10.1112/topo.12032
published as Journal of Topology, 10(4):1124-1144, 2017 · accepted for publication by the Journal of Topology
arxiv created 2017/10/02 · arxiv updated 2017/11/21
We compute the generalized slices (as defined by Spitzweck-Østvær) 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.