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Pré-Publication, Document De Travail Année : 2014

Cobordism of maps on $Z_2$-Witt spaces

Résumé

In this article we study the bordism groups of normally nonsingular maps $f: X \to Y$ defined on pseudomanifolds $X$ and $Y$. To characterize the bordism of such maps, inspired by the formula given by Stong, we give a general definition of Stiefel-Whitney numbers defined on $X$ and $Y$ using the Wu classes defined by Goresky and Pardon and we show that in several cases the cobordism class of a normally nonsingular map $f:X \to Y$ guarantees that these numbers are zero.

Dates et versions

hal-01310955 , version 1 (03-05-2016)

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Jean-Paul Brasselet, Alice Kimie Miwa Libardi, Eliris Rizziolli, Marcelo Saia. Cobordism of maps on $Z_2$-Witt spaces. 2014. ⟨hal-01310955⟩
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