# The universal Lie infinity-algebroid of a singular foliation

@article{LaurentGengoux2017TheUL, title={The universal Lie infinity-algebroid of a singular foliation}, author={Camille Laurent-Gengoux and Sylvain Lavau and Thomas Strobl}, journal={arXiv: Differential Geometry}, year={2017} }

We associate a Lie ∞-algebroid to every resolution of a singular foliation, where we consider a singular foliation as a locally generated, O-submodule of vector fields on the underlying manifold closed under Lie bracket. Here O can be the ring of smooth, holomorphic, or real analytic functions. The choices entering the construction of this Lie ∞-algebroid, including the chosen underlying resolution, are unique up to homotopy and, moreover, every other Lie ∞-algebroid inducing the same foliation…

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