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arXiv · 1405.6152

Euler obstruction and Lipschitz-Killing curvatures

Nicolas Dutertre
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Abstract

Applying a local Gauss-Bonnet formula for closed subanalytic sets to the complex analytic case, we obtain characterizations of the Euler obstruction of a complex analytic germ in terms of the Lipschitz-Killing curvatures and the Chern forms of its regular part. We also prove analogous results for the global Euler obstruction. As a corollary, we give a positive answer to a question of Fu on the Euler obstruction and the Gauss-Bonnet measure.

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Nicolas Dutertre. 2014-05-23. Euler obstruction and Lipschitz-Killing curvatures. https://arxiv.org/abs/1405.6152

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