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.
On very effective hermitian K-theory / A. Ananyevskiy, O. Rondigs, P.A. Oestvaer. - In: MATHEMATISCHE ZEITSCHRIFT. - ISSN 0025-5874. - 294:3-4(2020), pp. 1021-1034. [10.1007/s00209-019-02302-z]
On very effective hermitian K-theory
P.A. Oestvaer
2020
Abstract
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.File | Dimensione | Formato | |
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