Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Weakly curved A-infinity algebras over a topological local ring   We define and study the derived categories of the first kind for curved DG
and A-infinity algebras complete over a pro-Artinian local ring with the
curvature elements divisible by the maximal ideal of the local ring. We develop
the Koszul duality theory in this setting and deduce the generalizations of the
conventional results about A-infinity modules to the weakly curved case. The
formalism of contramodules and comodules over pro-Artinian topological rings is
used throughout the paper. Our motivation comes from the Floer-Fukaya theory.

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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: comp-gas
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The categories of this paper are: nlin
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The categories of this paper are: nucl-ex
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The categories of this paper are: nucl-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: patt-sol
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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: bayes-an
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The categories of this paper are: plasm-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: solv-int
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The categories of this paper are: eess
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The categories of this paper are: hep-ex