The Linearizability of Singular Foliations Is a Morita Invariant
Differential Geometry
2026-02-19 v3
Abstract
Hausdorff Morita equivalence is an equivalence relation on singular foliations, which induces a bijection between their leaves. Our main statement is that linearizability along a leaf is invariant under Hausdorff Morita equivalence. The proof relies on a characterization of tubular neighborhood embeddings using Euler-like vector fields.
Keywords
Cite
@article{arxiv.2506.19509,
title = {The Linearizability of Singular Foliations Is a Morita Invariant},
author = {Marco Zambon},
journal= {arXiv preprint arXiv:2506.19509},
year = {2026}
}