BV-generators and Lie algebroids

Details BV-generators and Lie algebroids BV-generators and Lie algebroids

2004-12-14

arxiv.org/abs/math/0412270v2

Mathematics

Differential Geometry

Scientific paper

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-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.

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