On very effective hermitian K-theory
Autor(en): | Ananyevskiy, Alexey Roendigs, Oliver Ostvaer, Paul Arne |
Stichwörter: | A(1)-homotopy theory; Hermitian K-theory; Mathematics; MOTIVIC STEENROD ALGEBRA; Slice filtration; SLICES | Erscheinungsdatum: | 2020 | Herausgeber: | SPRINGER HEIDELBERG | Journal: | MATHEMATISCHE ZEITSCHRIFT | Volumen: | 294 | Ausgabe: | 3-4 | Startseite: | 1021 | Seitenende: | 1034 | Zusammenfassung: | 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. |
ISSN: | 00255874 | DOI: | 10.1007/s00209-019-02302-z |
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geprüft am 20.05.2024