Relations among characteristic classes and existence of singular maps

Boldizsar Kalmar; Tamas Terpai

doi:10.1090/s0002-9947-2012-05544-9

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arXiv · 1005.1297

Relations among characteristic classes and existence of singular maps

Boldizsar Kalmar·Tamas Terpai

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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.

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Boldizsar Kalmar, Tamas Terpai. 2010-05-07. Relations among characteristic classes and existence of singular maps. https://doi.org/10.1090/s0002-9947-2012-05544-9

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