An invitation to singular foliations
Differential Geometry
2024-11-21 v2
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.
Cite
@article{arxiv.2407.14932,
title = {An invitation to singular foliations},
author = {Camille Laurent-Gengoux and Ruben Louis and Leonid Ryvkin},
journal= {arXiv preprint arXiv:2407.14932},
year = {2024}
}