Note shows congruence of cellular absolute motivic spectrum and motivic ring spectrum for hermitian K-theory in a quasi-compact scheme.
In the Morel-Voevodsky motivic stable homotopy category of a quasi-compact quasi-separated scheme S , several candidates exist for a motivic spectrum representing hermitian K -theory. This note shows that the cellular absolute motivic spectrum constructed in [9] via the geometry of orthogonal and hyperbolic Grassmannians over S coincides with the motivic ring spectrum constructed in [4].
No takes yet. Share an insight, caveat, or question.
Kumar et al. (2026) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: