Fedosov dg manifolds and Gerstenhaber algebras associated with Lie pairs

@inproceedings{Stinon2016FedosovDM,
  title={Fedosov dg manifolds and Gerstenhaber algebras associated with Lie pairs},
  author={Mathieu Sti{\'e}non and Ping Bo Xu},
  year={2016}
}
We study two cohomology groups $H^{\bullet}_{\operatorname{CE}}(A,\mathcal{X}_{\operatorname{poly}}{\bullet})$ and $H^{\bullet}_{\operatorname{CE}}(A,\mathcal{D}_{\operatorname{poly}}{\bullet})$, which serve as replacements for the spaces of "polyvector fields" and "polydifferential operators" on a pair $(L,A)$ of Lie algebroids. In particular, we prove that both $H^{\bullet}_{\operatorname{CE}}(A,\mathcal{X}_{\operatorname{poly}}{\bullet})$ and $H^{\bullet}_{\operatorname{CE}}(A,\mathcal{D}_… CONTINUE READING

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