The zeros of random sections of real vector bundles
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. (The text is a summary of a report on the conference PCA'2024 in Euler International Mathematical Institute, St. Petersburg)
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