Abstract
We obtain geometric models for the infinite loop spaces of the motivic spectra MGL, MSL, and 1 over a field. They are motivically equivalent to Z× Hilblci∞ (A∞)+, Z× Hilbor∞(A∞)+, and Z× Hilbfr∞(A∞)+, respectively, where Hilblcid(An) (resp. Hilbord (An), Hilbfrd (An)) is the Hilbert scheme of lci points (resp.oriented points, framed points) of degree d in An, and + is Quillen’s plus construction. Moreover, we show that the plus construction is redundant in positive characteristic. Show more
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https://doi.org/10.3929/ethz-b-000494844Publication status
publishedJournal / series
Épijournal de Géométrie AlgébriqueVolume
Pages / Article No.
Publisher
Centre Communication Scientifique DirecteSubject
Motivic homotopy theory; algebraic cobordismOrganisational unit
02500 - Forschungsinstitut für Mathematik / Institute for Mathematical Research
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