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Stiefel-Whitney Classes and the Conormal Cycle of a Singular Variety

Joseph H. G. Fu·Clint McCrory
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Abstract

A geometric construction of Sullivan's Stiefel-Whitney homology classes of a real analytic variety $X$ is given by means of the conormal cycle of an embedding of $X$ in a smooth variety. We prove that the Stiefel-Whitney classes define additive natural transformations from certain constructible functions to homology. We also show that, for a complex analytic variety, these classes are the mod 2 reductions of the Chern-MacPherson classes.

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BibTeXRIS

Joseph H. G. Fu, Clint McCrory. 1995-08-22. Stiefel-Whitney Classes and the Conormal Cycle of a Singular Variety. https://arxiv.org/abs/dg-ga/9508010

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