On the cobordism groups of cooriented, codimension one Morin maps
Geometric Topology
2011-08-11 v1 Algebraic Topology
Abstract
Cobordism groups of cooriented fold maps of codimension 1 are computed completely. Namely their odd torsion part coincides with that of the stable homotopy group of spheres in the same dimension, while the 2-primary part is the kernel of the Kahn-Priddy map. (The Kahn-Priddy map is an epimorhism of the stable homotopy group of the infinite dimensional real projective space onto the 2-primary part of the stable homotopy group of spheres). Analogous results - modulo small primes - are obtained for cusp maps and more complicated Morin maps as well.
Keywords
Cite
@article{arxiv.1108.2168,
title = {On the cobordism groups of cooriented, codimension one Morin maps},
author = {András Szűcs},
journal= {arXiv preprint arXiv:1108.2168},
year = {2011}
}
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14 pages