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arXiv · 1712.01349

On very effective hermitian $K$-theory

Alexey Ananyevskiy·Oliver Röndigs·Paul Arne Østvær
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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.

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Alexey Ananyevskiy, Oliver Röndigs, Paul Arne Østvær. 2017-12-04. On very effective hermitian $K$-theory. https://arxiv.org/abs/1712.01349

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