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On equivariant and motivic slices

Heard, Drew



Abstract

Let k be a field with a real embedding. We compare the motivic slice filtration of a motivic spectrum over Spec(k) with the C-2-equivariant slice filtration of its equivariant Betti realization, giving conditions under which realization induces an equivalence between the associated slice towers. In particular, we show that, up to reindexing, the towers agree for all spectra obtained from ...

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