English

Relations among characteristic classes and existence of singular maps

Geometric Topology 2012-03-08 v1

Abstract

We obtain relations among the characteristic classes of a manifold M admitting corank one maps. Our relations yield strong restrictions on the cobordism class of M and also nonexistence results for singular maps of the projective spaces. We obtain our results through blowing up a manifold along the singular set of a smooth map and perturbing the arising non-generic corank one map.

Keywords

Cite

@article{arxiv.1005.1297,
  title  = {Relations among characteristic classes and existence of singular maps},
  author = {Boldizsar Kalmar and Tamas Terpai},
  journal= {arXiv preprint arXiv:1005.1297},
  year   = {2012}
}

Comments

25 pages

R2 v1 2026-06-21T15:20:04.452Z