  Using the curved bc-beta-gamma system (a tensor product of a Heisenberg and a
Clifford vertex algebra) we introduce quantum analogy of Lichnerowicz
differential. As follows we suggest new machinery for finding the
Lichnerowicz-Poisson cohomology groups for any Poisson manifold. Moreover, the
defined provides new invariant.
  Keywords: Poisson manifold, Lichnerowicz differential, Chiral de Rham
complex, cohomologies, vertex algebras, deformation theory, Nambu-Poisson
bracket, n-Lie algebras, Gromov-Witten theory.
