BV-generators and Lie algebroids
Abstract
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.