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arXiv · 1403.1983

Cobordism of maps on $Z_2$-Witt spaces

Jean-Paul Brasselet·Alice Kimie Miwa Libardi·Eliris Rizziolli·Marcelo Saia
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Abstract

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.

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Jean-Paul Brasselet, Alice Kimie Miwa Libardi, Eliris Rizziolli, Marcelo Saia. 2014-03-08. Cobordism of maps on $Z_2$-Witt spaces. https://arxiv.org/abs/1403.1983

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