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The Beilinson regulator is a map of ring spectra

Bunke, Ulrich ; Nikolaus, Thomas ; Tamme, Georg



Abstract

We prove that the Beilinson regulator, which is a map from K-theory to absolute Hodge cohomology of a smooth variety, admits a refinement to a map of Em-ring spectra in the sense of algebraic topology. To this end we exhibit absolute Hodge cohomology as the cohomology of a commutative differential graded algebra over R. The associated spectrum to this CDGA is the target of the refinement of the ...

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