2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/73578Let $A=A^0+A^1+A^2+...$ 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-algebra. Subsequently, we apply it to the Gerstenhaber or BV algebra associated to a Lie algebroid and obtain a global proof of the correspondence between BV-generators and flat connections.Differential GeometryMathematical PhysicsAlgebraic Geometrytext