Stable homotopy groups of spheres and higher singularities
Ando, Yoshifumi
J. Math. Kyoto Univ., Tome 46 (2006) no. 4, p. 147-165 / Harvested from Project Euclid
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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 $n < 8$.
Publié le : 2006-05-15
Classification:  57R45,  55Q45,  57R90 
@article{1250283004,
     author = {Ando, Yoshifumi},
     title = {Stable homotopy groups of spheres and higher singularities},
     journal = {J. Math. Kyoto Univ.},
     volume = {46},
     number = {4},
     year = {2006},
     pages = { 147-165},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1250283004}
}

Ando, Yoshifumi. Stable homotopy groups of spheres and higher singularities. J. Math. Kyoto Univ., Tome 46 (2006) no. 4, pp.  147-165. http://gdmltest.u-ga.fr/item/1250283004/