BV-generators and Lie algebroids

Sebastien Michea, Gleb Novitchkov

Let $A=A^0+A^1+A^2+...$ be a Gerstenhaber algebra generated by $A^0$ and $A^1$. Given a degree -1 operator $D$ on $A^0+A^1$, we find the condition on $D$ that makes $A$ a BV-alge…