English

Singularities and stable homotopy groups of spheres I

Geometric Topology 2022-05-24 v4

Abstract

We establish an interesting connection between Morin singularities and stable homotopy groups of spheres. We apply this connection to computations of cobordism groups of certain singular maps. The differentials of the spectral sequence computing these cobordism groups are given by the composition multiplication in the stable homotopy groups of spheres.

Keywords

Cite

@article{arxiv.1506.05260,
  title  = {Singularities and stable homotopy groups of spheres I},
  author = {Csaba Nagy and András Szűcs and Tamás Terpai},
  journal= {arXiv preprint arXiv:1506.05260},
  year   = {2022}
}

Comments

39 pages, 1 figure, revised again for Journal of Singularities