The generalized slices of Hermitian K‐theory
By Tom Bachmann. 2016
51 citations recorded by the source corpus.
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.
Subfields: Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/40f79c425d45f17d5bff832cbf99b94c877ee4cd
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In Geometry and Topology
In Mathematical Physics
Citations in the corpus
- EULER CLASSES: SIX-FUNCTORS FORMALISM, DUALITIES, INTEGRALITY AND LINEAR SUBSPACES OF COMPLETE INTERSECTIONS (2020, background): “ Over regular bases, it represents Hermitian K-theory GW; in general it represents a homotopy invariant version. Generalized motivic cohomology HZ˜: This can be defined as πeff 0 ( 1 ); see for example [Bac17]. Over fields (of characteristic not 2) it represents generalized motivic cohomology in the se”
- Norms in motivic homotopy theory (2017, background): “ and SH(S)ve are symmetric monoidal subcategories of SH(S). 13.1. The zeroth slice of a normed spectrum. We start by reviewing Voevodsky’s slice ltration [Voe02] and its generalized variant dened in [Bac17]. For n2Z, we denote by SH(S)e(n) ˆSH(S) the subcategory of n-eective spectra, i.e., spectra o”