Hochschild cohomology of dg manifolds associated to integrable distributions (Q2094612)

For the field $K=R$ or $C$ and an integrable distribution $F$ on a smooth manifold $M$, the Hochschild cohomology of the dg manifold is studied and a canonical isomorphism with the Hochschild cohomology of the algebra of functions is developed on leaf space in terms of transversal polydifferential operators of F. The Hochschild cohomology is canonically isomorphic to the Hochschild-cohomology of the complex manifold $X$. The Duflo-Kontsevich type theorem for the dg manifold can be extended the Duflo-Kontsevich theorem for complex manifolds.