Multiplicative properties of Morin maps

Details Multiplicative properties of Morin maps Multiplicative properties of Morin maps

2007-10-14

arxiv.org/abs/0710.2681v2

Mathematics

Geometric Topology

Corrected some small misprints and made lot of minor (mainly grammatical) alterations. 10 pages

Scientific paper

In the first part of the paper we construct a ring structure on the rational cobordism classes of Morin maps (i. e. smooth generic maps of corank 1). We show that associating to a Morin map its singular strata defines a ring homomorphism to $\Omega_* \otimes \Q$, the rational oriented cobordism ring. This is proved by analyzing multiple-point sets of product immersion. Using these homomorphisms we are able to identify the ring of Morin maps. In the second part of the paper we compute the oriented Thom polynomial of the $\Sigma^2$ singularity type with $\Q$ coefficients. Then we provide a product formula for the $\Sigma^2$ and the $\Sigma^{1,1}$ singularities.

Affiliated with

Also associated with

No associations

Rating

Multiplicative properties of Morin maps does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Multiplicative properties of Morin maps, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Multiplicative properties of Morin maps will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-384053