Motivic strict ring spectra representing semi-topological cohomology theories

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish (US)
Pages (from-to)107-135
Number of pages29
JournalHomology, Homotopy and Applications
Issue number2
StatePublished - 2015
Externally publishedYes


  • Motivic homotopy theory
  • Semi-stable symmetric motivic spectra
  • Semi-topological cohomology theory

ASJC Scopus subject areas

  • Mathematics (miscellaneous)


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