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

Joseph H. G. Fu; Clint McCrory

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

dg-ga 2008-02-03 v2 Differential Geometry

Authors: Joseph H. G. Fu , Clint McCrory

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.

Keywords

Stiefel-Whitney classes conormal cycle real analytic variety constructible functions Chern-MacPherson classes singular variety

Cite

@article{arxiv.dg-ga/9508010,
  title  = {Stiefel-Whitney Classes and the Conormal Cycle of a Singular Variety},
  author = {Joseph H. G. Fu and Clint McCrory},
  journal= {arXiv preprint arXiv:dg-ga/9508010},
  year   = {2008}
}

Comments

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

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

Abstract

Keywords

Cite

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