Cohomology of the vector fields Lie algebra and modules of differential operators on a smooth manifold

P. B. A. Lecomte, V. Yu. Ovsienko

Let $M$ be a smooth manifold, $\mathcal{S}$ the space of polynomial on fibers functions on $T^{\ast }M$ (i.e., of symmetric contravariant tensor fields). We compute the first cohomology space…