English

The eta-inverted sphere over the rationals

Algebraic Topology 2018-04-11 v2

Abstract

We calculate the motivic stable homotopy groups of the two-complete sphere spectrum after inverting multiplication by the Hopf map eta over fields of cohomological dimension at most 2 with characteristic different from 2 (this includes the p-adic fields and the finite fields of odd characteristic) and the field of rational numbers; the ring structure is also determined.

Keywords

Cite

@article{arxiv.1708.06523,
  title  = {The eta-inverted sphere over the rationals},
  author = {Glen Matthew Wilson},
  journal= {arXiv preprint arXiv:1708.06523},
  year   = {2018}
}

Comments

24 pages, 6 figures, 4 tables. To appear in Algebraic and Geometric Topology

R2 v1 2026-06-22T21:20:17.215Z