Lie-Rinehart algebras \(\simeq\) acyclic Lie \(\infty \)-algebroids (Q2068124)

The article under review generalizes to Lie-Rinehart algebras, earlier work by the first author with S. Lavau and T. Strobl [\textit{C. Laurent-Gengoux} et al., Doc. Math. 25, 1571--1652 (2020; Zbl 1453.53033)], where the homotopy class of an \(L_{\infty}\)-algebroid was assigned to a singular foliation. In fact, the current paper improves this result, in the sense that the length of the \(L_{\infty}\)-algebroid is allowed to be infinite. Moreover, the construction given in this work provides a complex which allows the computation of the Tor functor.