SIGMA 22 (2026), 014, 18 pages      arXiv:2506.19509      https://doi.org/10.3842/SIGMA.2026.014
Contribution to the Special Issue on Interactions of Poisson Geometry, Lie Theory and Symmetry in honor of Rui Loja Fernandes

The Linearizability of Singular Foliations Is a Morita Invariant

Marco Zambon
KU Leuven, Department of Mathematics, Celestijnenlaan 200B box 2400, 3001 Leuven, Belgium

Received September 25, 2025, in final form February 05, 2026; Published online February 17, 2026

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.

Key words: singular foliation; Morita equivalence; linearization; Euler-like vector field.

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