English

The Multiplicative Structures on Motivic Homotopy Groups

Algebraic Geometry 2024-07-10 v1 Algebraic Topology

Abstract

We reconcile the multiplications on the homotopy rings of motivic ring spectra used by Voevodsky and Dugger. While the connection is elementary and similar phenomena have been observed in situations like supersymmetry, neither we nor other researchers we consulted were aware of the conflicting definitions and the potential consequences. Hence this short note.

Keywords

Cite

@article{arxiv.2212.03938,
  title  = {The Multiplicative Structures on Motivic Homotopy Groups},
  author = {Daniel Dugger and Bjørn Ian Dundas and Daniel C. Isaksen and Paul Arne Østvær},
  journal= {arXiv preprint arXiv:2212.03938},
  year   = {2024}
}
R2 v1 2026-06-28T07:25:14.941Z