Abstract:In the first part of the paper we construct a ring structure on the rational cobordism classes of Morin maps (ie smooth generic maps of corank 1). We show that associating to a Morin map its † 1 r (or A r ) singular strata defines a ring homomorphism to ˝Q, the rational oriented cobordism ring. This is proved by analyzing the multiple-point sets of a product immersion. Using these homomorphisms we compute the ring of Morin maps.In the second part of the paper we give a new method to find the oriented Thom poly… Show more
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