Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Bogomolov-Tian-Todorov Theorem Of Cyclic $A_\infty$-Algebras   Let $A$ be a finite-dimensional smooth unital cyclic $A_\infty$-algebra.
Assume furthermore that $A$ satisfies the Hodge-to-de-Rham degeneration
property. In this short note, we prove the non-commutative analogue of the
Bogomolov-Tian-Todorov theorem: the deformation functor associated with the
differential graded Lie algebra of Hochschild cochains of $A$ is smooth.
Furthermore, the deformation functor associated with the DGLA of cyclic
Hochschild cochains of $A$ is also smooth.

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The categories of this paper are: hep-ph
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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: cmp-lg
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The categories of this paper are: adap-org
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The categories of this paper are: chem-ph
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The categories of this paper are: math-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: econ
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The categories of this paper are: nucl-th
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The categories of this paper are: atom-ph
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The categories of this paper are: funct-an
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The categories of this paper are: nucl-ex
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The categories of this paper are: ao-sci
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The categories of this paper are: patt-sol
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The categories of this paper are: supr-con