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arXiv · 2506.19509

The Linearizability of Singular Foliations Is a Morita Invariant

Marco Zambon
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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.

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Marco Zambon. 2025-06-24. The Linearizability of Singular Foliations Is a Morita Invariant. https://doi.org/10.3842/sigma.2026.014

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