Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A chain level Batalin-Vilkovisky structure in string topology via de
  Rham chains   The aim of this paper is to define a chain level refinement of the
Batalin-Vilkovisky (BV) algebra structure on the homology of the free loop
space of a closed, oriented $C^\infty$-manifold. For this purpose, we define a
(nonsymmetric) cyclic dg operad which consists of "de Rham chains" of free
loops with marked points. A notion of de Rham chains, which is a certain hybrid
of the notions of singular chains and differential forms, is a key ingredient
in our construction. Combined with a generalization of cyclic Deligne's
conjecture, this dg operad produces a chain model of the free loop space which
admits an action of a chain model of the framed little disks operad, recovering
the string topology BV algebra structure on the homology level.

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The categories of this paper are: gr-qc
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The categories of this paper are: acc-phys
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The categories of this paper are: dg-ga
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The categories of this paper are: funct-an
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The categories of this paper are: patt-sol
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The categories of this paper are: chem-ph
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The categories of this paper are: q-alg
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The categories of this paper are: adap-org
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The categories of this paper are: physics
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The categories of this paper are: nucl-ex
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The categories of this paper are: bayes-an
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The categories of this paper are: econ
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The categories of this paper are: hep-ex
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The categories of this paper are: solv-int
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The categories of this paper are: hep-th
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The categories of this paper are: q-fin