Singularities and stable homotopy groups of spheres. I
Journal of Singularities, Tome 17 (2018), pp. 1-27
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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.
@article{10_5427_jsing_2018_17a,
author = {Csaba Nagy and Andr\'as Sz\'{u}cs, and Tam\'as Terpai},
title = {Singularities and stable homotopy groups of spheres. {I}},
journal = {Journal of Singularities},
pages = {1--27},
publisher = {mathdoc},
volume = {17},
year = {2018},
doi = {10.5427/jsing.2018.17a},
url = {http://geodesic.mathdoc.fr/articles/10.5427/jsing.2018.17a/}
}
TY - JOUR AU - Csaba Nagy AU - András Szűcs, AU - Tamás Terpai TI - Singularities and stable homotopy groups of spheres. I JO - Journal of Singularities PY - 2018 SP - 1 EP - 27 VL - 17 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.5427/jsing.2018.17a/ DO - 10.5427/jsing.2018.17a ID - 10_5427_jsing_2018_17a ER -
Csaba Nagy; András Szűcs,; Tamás Terpai. Singularities and stable homotopy groups of spheres. I. Journal of Singularities, Tome 17 (2018), pp. 1-27. doi: 10.5427/jsing.2018.17a
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