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arXiv · 2606.27340

Godbillon-Vey classes of Lie subalgebroids

Shuhei Yonehara
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Abstract

The Godbillon-Vey class is a secondary characteristic class which is defined for regular foliations and have been studied extensively. On the other hand, extending the Godbillon-Vey class to singular foliations is difficult, and a complete result has not yet been obtained. In this paper, we address this problem by focusing on a geometric object called a Lie algebroid on a manifold. More precisely, we fix a Lie algebroid and relatively define the Godbillon-Vey class for its Lie subalgebroids, and study their properties. We also present several examples.

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Shuhei Yonehara. 2026-06-25. Godbillon-Vey classes of Lie subalgebroids. https://arxiv.org/abs/2606.27340

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