Calabi-Yau algebras viewed as deformations of Poisson algebras
  We define a family of 3-Calabi-Yau algebras by potentials. For some of these algebras, we explicitly compute the Hochschild homology with the help of Poisson homology. The point is that the Poisson potential has non-isolated singularities. 
Roland Berger and Anne Pichereau
math.RA math.RT