Geodesic
The Universal Lie $\infty$-Algebroid of a Singular Foliation
Documenta mathematica, Tome 25 (2020), pp. 1571-1652
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We consider singular foliations F as locally finitely generated O-submodules of O-derivations closed under the Lie bracket, where O is the ring of smooth, holomorphic, or real analytic functions on a correspondingly chosen manifold. We first collect and/or prove several results about the existence of resolutions of such an F in terms of sections of vector bundles. For example, these exist always on a compact smooth manifold M if F admits real analytic generators.
DOI : 10.4171/dm/782
Classification : 18G10, 53C12, 57R30, 58H05
Mots-clés : singular foliations and singular leaves, Lie ∞-algebroids and Q-manifolds 
@article{10_4171_dm_782,
     author = {Camille Laurent-Gengoux and Sylvain Lavau and Thomas Strobl},
     title = {The {Universal} {Lie} $\infty${-Algebroid} of a {Singular} {Foliation}},
     journal = {Documenta mathematica},
     pages = {1571--1652},
     year = {2020},
     volume = {25},
     doi = {10.4171/dm/782},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/782/}
}
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Camille Laurent-Gengoux; Sylvain Lavau; Thomas Strobl. The Universal Lie $\infty$-Algebroid of a Singular Foliation. Documenta mathematica, Tome 25 (2020), pp. 1571-1652. doi: 10.4171/dm/782

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