We argue that the very effective cover of hermitian K-theory in the sense of motivic homotopy theory is a convenient algebro-geometric generalization of the connective real topological K-theory spectrum. This means the very effective cover acquires the correct Betti realization, its motivic cohomology has the desired structure as a module over the motivic Steenrod algebra, and that its motivic Adams and slice spectral sequences are amenable to calculations.

Original languageEnglish
JournalMathematische Zeitschrift
DOIs
StateE-pub ahead of print - 29 Apr 2019

    Scopus subject areas

  • Mathematics(all)

    Research areas

  • A -homotopy theory, Hermitian K-theory, Slice filtration

ID: 42385259