English

Stable homotopy groups of spheres: From dimension 0 to 90

Algebraic Topology 2023-01-20 v3

Abstract

Using techniques in motivic homotopy theory, especially the theorem of Gheorghe, the second and the third author on the isomorphism between motivic Adams spectral sequence for CτC{\tau} and the algebraic Novikov spectral sequence for BPBP_*, we compute the classical and motivic stable homotopy groups of spheres from dimension 0 to 90, except for some carefully enumerated uncertainties.

Keywords

Cite

@article{arxiv.2001.04511,
  title  = {Stable homotopy groups of spheres: From dimension 0 to 90},
  author = {Daniel C. Isaksen and Guozhen Wang and Zhouli Xu},
  journal= {arXiv preprint arXiv:2001.04511},
  year   = {2023}
}

Comments

Updated some computations