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arXiv · 2407.14932

An invitation to singular foliations

Camille Laurent-Gengoux·Ruben Louis·Leonid Ryvkin
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Abstract

These lecture notes attempt to invite the reader towards the theory of singular foliations, both smooth and holomorphic. In addition to a systematic review of the foundations, and an attempt to put in order examples and several elementary constructions, we detail several recent tools developed for non-commutative geometry, in particular the holonomy groupoid of Androulidakis and Skandalis and various methods for resolving singularities. We also introduce various homotopic notions, and end with a series of open questions.

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Camille Laurent-Gengoux, Ruben Louis, Leonid Ryvkin. 2024-07-20. An invitation to singular foliations. https://arxiv.org/abs/2407.14932

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