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Framed correspondences and the zeroth stable motivic homotopy group in odd characteristic

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arxiv 1809.03238 v4 pith:42PTCI6A submitted 2018-09-10 math.KT

Andrei Druzhinin , Jonas Irgens Kylling This is my paper · ORCID
classification math.KT
keywords characteristicextendframedgroupzerothalgebraicbasebullet
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abstract

We extend the results of G.~Garkusha and I.~Panin on framed motives of algebraic varieties [4] to the case of a finite base field, and extend the computation of the zeroth cohomology group $H^0(\mathbb ZF(\Delta^\bullet_k,\mathbf G^{\wedge n}_m))=K^{MW}_n$ by A.~Neshitov [8] to perfect fields $k$ of positive characteristic different from 2.

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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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