Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fedosov dg manifolds associated with Lie pairs   Given any pair $(L,A)$ of Lie algebroids, we construct a differential graded
manifold $(L[1]\oplus L/A,Q)$, which we call Fedosov dg manifold. We prove that
the cohomological vector field $Q$ constructed on $L[1]\oplus L/A$ by the
Fedosov iteration method arises as a byproduct of the
Poincar\'e--Birkhoff--Witt map established in arXiv:1408.2903. Finally, using
the homological perturbation lemma, we establish a quasi-isomorphism of
Dolgushev--Fedosov type: the differential graded algebras of functions on the
dg manifolds $(A[1],d_A)$ and $(L[1]\oplus L/A,Q)$ are homotopy equivalent.

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The categories of this paper are: hep-ex
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The categories of this paper are: quant-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-alg
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The categories of this paper are: stat
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-th
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The categories of this paper are: nlin
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The categories of this paper are: supr-con
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The categories of this paper are: astro-ph
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The categories of this paper are: q-fin
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The categories of this paper are: eess
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The categories of this paper are: cond-mat
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The categories of this paper are: bayes-an
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-lat