Batalin-Vilkovisky algebra structure on Poisson manifolds with diagonalizable modular symmetry

Poincaré duality for Hopf algebroids

“…) . This formula was stated in [9] for oriented Poisson manifolds; see also [20] for polynomial algebras with quadratic Poisson structures, [28] for linear Poisson structures, and [21] for general polynomial Poisson algebras.…”