# On very effective hermitian K-theory

@article{Ananyevskiy2019OnVE,
title={On very effective hermitian K-theory},
author={Alexey Ananyevskiy and Oliver R{\"o}ndigs and Paul Arne {\O}stv{\ae}r},
journal={Mathematische Zeitschrift},
year={2019},
pages={1-14}
}
• Published 4 December 2017
• Mathematics
• Mathematische Zeitschrift
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.
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