On the cobordism groups of cooriented, codimension one Morin maps

Details On the cobordism groups of cooriented, codimension one Morin maps On the cobordism groups of cooriented, codimension one Morin maps

2011-08-10

arxiv.org/abs/1108.2168v1

Mathematics

Geometric Topology

14 pages

Scientific paper

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.

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