Abstract
We will construct an isomorphism of the group of all cobordism classes of fold-maps of degree 0 of $n$-dimensional closed oriented manifolds to the $n$-sphere to the $n$-th stable homotopy group $\pi _{n}^{s}$ of spheres. As an application we will show that elements of $\pi _{n}^{s}$ are detected by higher singularities of certain maps in dimensions $n < 8$.
Citation
Yoshifumi Ando. "Stable homotopy groups of spheres and higher singularities." J. Math. Kyoto Univ. 46 (1) 147 - 165, 2006. https://doi.org/10.1215/kjm/1250283004
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