Relations among characteristic classes and existence of singular maps

Details Relations among characteristic classes and existence of singular maps Relations among characteristic classes and existence of singular maps

2010-05-07

arxiv.org/abs/1005.1297v1

Mathematics

Geometric Topology

25 pages

Scientific paper

10.1090/S0002-9947-2012-05544-9

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.

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