Remarks on étale motivic stable homotopy theory

Remarks on motivic Moore spectra

The term "motivic Moore spectrum" refers to a cone of an element in the motivic stable homotopy groups of spheres. This article discusses some properties of motivic Moore spectra, among them the question whether the ring structure on the motivic sphere spectrum descends to a ring structure on a motivic Moore spectrum. This discussion requires an understanding of some Toda brackets in the motivic stable homotopy groups of spheres.

关于无 $\mathbb A^1$-不变性的动机球谱的注记

Remarks on the motivic sphere without $\mathbb A^1$-invariance

本文将动机球谱的基本性质推广到非 $\mathbb A^1$-不变的动机谱范畴，证明 Milnor-Witt K-理论关系成立，并给出有理动机上同调谱 $\mathrm H\mathbb Q$-模的多种等价刻画。