Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Linear Batalin-Vilkovisky quantization as a functor of
  $\infty$-categories   We study linear Batalin-Vilkovisky (BV) quantization, which is a derived and
shifted version of the Weyl quantization of symplectic vector spaces. Using a
variety of homotopical machinery, we implement this construction as a symmetric
monoidal functor of $\infty$-categories. We also show that this construction
has a number of pleasant properties: It has a natural extension to derived
algebraic geometry, it can be fed into the higher Morita category of
$E_n$-algebras to produce a "higher BV quantization" functor, and when
restricted to formal moduli problems, it behaves like a determinant. Along the
way we also use our machinery to give an algebraic construction of
$E_n$-enveloping algebras for shifted Lie algebras.

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The categories of this paper are: supr-con
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The categories of this paper are: q-bio
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The categories of this paper are: eess
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The categories of this paper are: alg-geom
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The categories of this paper are: nucl-th
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The categories of this paper are: math-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: adap-org
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The categories of this paper are: stat
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The categories of this paper are: plasm-ph
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The categories of this paper are: econ
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The categories of this paper are: astro-ph
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The categories of this paper are: solv-int
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The categories of this paper are: cs
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The categories of this paper are: chem-ph
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The categories of this paper are: dg-ga