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

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

1995-08-21

arxiv.org/abs/dg-ga/9508010v2

Mathematics

Differential Geometry

28 pages, AMSTeX Version 2.1, format AMSppt. The only change is that \input amstex \documentstyle{amsppt} has been added to th

Scientific paper

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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