English

Remarks on motivic Moore spectra

Algebraic Topology 2019-10-03 v1 Algebraic Geometry K-Theory and Homology

Abstract

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.

Keywords

Cite

@article{arxiv.1910.00834,
  title  = {Remarks on motivic Moore spectra},
  author = {Oliver Röndigs},
  journal= {arXiv preprint arXiv:1910.00834},
  year   = {2019}
}

Comments

17 pages, to appear in the proceedings of the workshop "Motivic homotopy theory and refined enumerative geometry"

R2 v1 2026-06-23T11:32:30.621Z