Motivic Strict Ring Spectra Representing Semi-topological Cohomology Theories
نویسنده
چکیده
We show that Shipley’s “detection functor” for symmetric spectra generalizes to motivic symmetric spectra. As an application, we construct motivic strict ring spectra representing morphic cohomology, semi-topological K-theory, and semitopological cobordism for complex varieties. As a further application to semi-topological cobordism, we show that it is related to semi-topological K-theory via a Conner-Floyd type isomorphism and that after inverting a lift of the Friedlander-Mazur s-element in morphic cohomology, semi-topological cobordism becomes isomorphic to periodic complex cobordism.
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