BV algebras, they don't really exist
Given a differential graded Gerstenhaber algebra $(\mathcal{G},d,\cdot,\{,\})$ and a bigraded homotopy Cartan calculus for it, the choice of a Poincaré duality element enhances the Gerstenhaber algebra structure on $H(\mathcal{G})$ to a BV-algebra structure. Every BV algebra can be realized, essentially in a tautological way, as an instance of...