Abstract
We give explicit MacPherson cycles for the Chern-MacPherson class of a closed affine algebraic variety $X$ and for any constructible function $\alpha$ with respect to a complex algebraic Whitney stratification of $X$.
We define generalized degrees of the global polar varieties and of the MacPherson cycles and we prove a global index formula for the Euler characteristic of $\alpha$. Whenever $\alpha$ is the Euler obstruction of $X$, this index formula specializes to the Seade-Tibăr-Verjovsky global counterpart of the Lê-Teissier formula for the local Euler obstruction.
Citation
Jörg Schürmann. Mihai Tibăr. "Index formula for MacPherson cycles of affine algebraic varieties." Tohoku Math. J. (2) 62 (1) 29 - 44, 2010. https://doi.org/10.2748/tmj/1270041025
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