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Hausdorff Morita equivalence of singular foliations.
- Source :
-
Annals of Global Analysis & Geometry . Feb2019, Vol. 55 Issue 1, p99-132. 34p. - Publication Year :
- 2019
-
Abstract
- We introduce a notion of equivalence for singular foliations—understood as suitable families of vector fields—that preserves their transverse geometry. Associated with every singular foliation, there is a holonomy groupoid, by the work of Androulidakis-Skandalis. We show that our notion of equivalence is compatible with this assignment, and as a consequence, we obtain several invariants. Further, we show that it unifies some of the notions of transverse equivalence for regular foliations that appeared in the 1980s. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 0232704X
- Volume :
- 55
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Annals of Global Analysis & Geometry
- Publication Type :
- Academic Journal
- Accession number :
- 134870817
- Full Text :
- https://doi.org/10.1007/s10455-018-9620-6