Hausdorff Morita equivalence of singular foliations

被引：0

作者：

Alfonso Garmendia

Marco Zambon

机构：

[1] KU Leuven,Department of Mathematics

来源：

Annals of Global Analysis and Geometry | 2019年 / 55卷

关键词：

Singular foliation; Morita equivalence; Lie groupoid;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

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.

引用

页码：99 / 132

页数：33

共 27 条

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