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MW-motivic complexes

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arxiv 1708.06095 v1 pith:VHWHNA42 submitted 2017-08-21 math.KT math.AG

Frédéric Déglise , Jean Fasel This is my paper · ORCID
classification math.KTmath.AG
keywords complexesbeilinsonclosercoefficientscorrespondencescyclesdevelopenvisioned
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abstract

The aim of this work is to develop a theory parallel to that of motivic complexes based on cycles and correspondences with coefficients in quadratic forms. This framework is closer to the point of view of $\mathbb{A}^1$-homotopy than the original one envisioned by Beilinson and set up by Voevodsky.

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Cited by 1 Pith paper

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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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