Equivariant Chern classes and localization theorem

Andrzej Weber

Journal of Singularities
volume 5 (2012), 153-176
Proceedings of the International Conference on Singularity Theory and Applications, Hefei, China, July 25-31, 2011

Received 24 October 2011. Received in revised form 19 March 2012.

DOI: 10.5427/jsing.2012.5k

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For a complex variety with a torus action we propose a new method of computing Chern-Schwartz-MacPherson classes. The method does not apply resolution of singularities. It is based on the Localization Theorem in equivariant cohomology.

This is an extended version of the talk given in Hefei in July 2011.


Equivariant cohomology, Chern classes of singular varieties, localization

Author(s) information:

Andrzej Weber
Institute of Mathematics
University of Warsaw
Banacha 2
02-097 Warszawa, Poland
email: aweber@mimuw.edu.pl