Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An Algebraic Chain Model of String Topology   A chain complex model for the free loop space of a connected, closed and
oriented manifold is presented, and on its homology, the Gerstenhaber and
Batalin-Vilkovisky algebra structures are defined and identified with the
string topology structures. The gravity algebra on the equivariant homology of
the free loop space is also modeled. The construction includes non
simply-connected case, and therefore gives an algebraic and chain level model
of Chas-Sullivan's String Topology.

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The categories of this paper are: hep-ex
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The categories of this paper are: patt-sol
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The categories of this paper are: nucl-ex
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The categories of this paper are: stat
33
The categories of this paper are: plasm-ph
31
The categories of this paper are: ao-sci
30
The categories of this paper are: q-alg
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The categories of this paper are: q-bio
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The categories of this paper are: math-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: chem-ph
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The categories of this paper are: adap-org
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The categories of this paper are: atom-ph
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The categories of this paper are: cs
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The categories of this paper are: quant-ph
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The categories of this paper are: mtrl-th