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arXiv · 2404.07596

The zeros of random sections of real vector bundles

Boris Kazarnovskii
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Abstract

We define integral geometric analogues of the Chern classes for real vector bundle on a smooth real variety. More precisely, we define the Chern densities of a real bundle. These densities are analogues of the Chern forms of a complex vector bundle and inherit some of their properties. \noindent (The text is a summary of a report on the conference PCA'2024 in Euler International Mathematical Institute, St. Petersburg)

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Boris Kazarnovskii. 2024-04-11. The zeros of random sections of real vector bundles. https://arxiv.org/abs/2404.07596

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