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A comparison theorem for MW-motivic cohomology

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arxiv 1708.06100 v1 pith:BNPNRNTK submitted 2017-08-21 math.KT math.AG

Baptiste Calmès , Jean Fasel This is my paper · ORCID
classification math.KTmath.AG
keywords fieldcohomologygroupmw-motiviccomparisonfinitelygeneratedidentifies
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We prove that for a finitely generated field over an infinite perfect field k, and for any integer n, the (n,n)-th MW-motivic cohomology group identifies with the n-th Milnor-Witt K-theory group of that field

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  1. The unit map of the algebraic special linear cobordism spectrum

    math.KT 2019-08 accept novelty 6.0 of 10

    Over characteristic 0 fields, the unit map from the motivic sphere spectrum to the special linear cobordism spectrum MSL is an isomorphism on homotopy modules, proven by comparing framed and SL-oriented framed corresp...

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