BV-generators and Lie algebroids

Sebastien Michea; Gleb Novitchkov

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arXiv · math/0412270

BV-generators and Lie algebroids

Sebastien Michea·Gleb Novitchkov

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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.

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BibTeX RIS

Sebastien Michea, Gleb Novitchkov. 2004-12-15. BV-generators and Lie algebroids. https://arxiv.org/abs/math/0412270

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