Poincaré-Hopf Theorem and Chern-Schwartz-MacPherson classes
Thuy Nguyen
Sao Paulo State University
https://sites.google.com/unesp.br/thuy-nguyen/home-page
Date(s) : 12/06/2025 iCal
11h00 - 12h00
We redefine the Chern-Schwartz-MacPherson classes using Lipschitz stratifications instead of Whitney stratifications. The obtained class is the same class as the Schwartz’ class but the construction is simplified. As an application in the real case, we provide a proof for the Poincaré-Hopf Theorem for semi-analytic real varieties that also simplifies Schwartz’ proof.
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