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The localization theorem for framed motivic spaces

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arxiv 1807.04253 v3 pith:LGZSIDN2 submitted 2018-07-11 math.AG math.ATmath.KT

Marc Hoyois This is my paper · ORCID
classification math.AGmath.ATmath.KT
keywords motivicframedarbitrarylocalizationschemesspacesspectratheorem
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We prove the analog of the Morel-Voevodsky localization theorem for framed motivic spaces. We deduce that framed motivic spectra are equivalent to motivic spectra over arbitrary schemes, and we give a new construction of the motivic cohomology of arbitrary schemes.

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  1. Modules over algebraic cobordism

    math.AG 2019-08 accept novelty 8.0 of 10

    MGL-modules over a scheme are equivalent to motivic spectra with finite syntomic transfers, and the infinite P^1-loop space of MGL is the A^1-homotopy type of the moduli stack of finite syntomic schemes.

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