Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Operations on the Hochschild Bicomplex of a Diagram of Algebras   A diagram of algebras is a functor valued in a category of associative
algebras. I construct an operad acting on the Hochschild bicomplex of a diagram
of algebras. Using this operad, I give a direct proof that the Hochschild
cohomology of a diagram of algebras is a Gerstenhaber algebra. I also show that
the total complex is an $L_\infty$-algebra. The same results are true for the
normalized and asimplicial subcomplexes and asimplicial cohomology. This
structure governs deformations of diagrams of algebras through the
Maurer-Cartan equation.

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The categories of this paper are: chem-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: atom-ph
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The categories of this paper are: nlin
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The categories of this paper are: plasm-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: funct-an
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The categories of this paper are: econ
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The categories of this paper are: solv-int
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The categories of this paper are: hep-lat
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The categories of this paper are: ao-sci
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The categories of this paper are: physics
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The categories of this paper are: chao-dyn
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The categories of this paper are: bayes-an
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The categories of this paper are: nucl-ex
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The categories of this paper are: quant-ph