an:06827936
Zbl 1453.14065
Bachmann, Tom
The generalized slices of Hermitian \(K\)-theory
EN
J. Topol. 10, No. 4, 1124-1144 (2017).
00373231
2017
j
14F42 19E08 55P42 14C25
Summary: We compute the generalized slices (as defined by Spitzweck-??stv??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.