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An invitation to singular foliations
- Publication Year :
- 2024
-
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.
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2407.14932
- Document Type :
- Working Paper