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arXiv · 1610.01346

The Generalized Slices of Hermitian K-Theory

Tom Bachmann
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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.

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Tom Bachmann. 2016-10-05. The Generalized Slices of Hermitian K-Theory. https://doi.org/10.1112/topo.12032

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