Singularities and stable homotopy groups of spheres. I

Journal of Singularities
volume 17 (2018), 1-27

Received: 26 September 2014. Received in revised form: 22 January 2018.

DOI: 10.5427/jsing.2018.17a

Add a reference to this article to your citeulike library.

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 ring of stable homotopy groups of spheres.