Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Strictifying Homotopy Coherent Actions on Hochschild Complexes   If P is a dg-operad acting on a dg-algebra A via algebra homomorphisms, then
P acts on the Hochschild complex of A. In the more general case when P is a
dg-prop, we show that P still acts on the Hochschild complex, but only up to
coherent homotopy. We moreover give a functorial dg-replacement of P that
strictifies the action. As an application, we obtain an explicit
strictification of the homotopy coherent commutative Hopf algebra structure on
the Hochschild complex of a commutative Hopf algebra.

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The categories of this paper are: hep-ph
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The categories of this paper are: q-fin
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The categories of this paper are: solv-int
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The categories of this paper are: dg-ga
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: cs
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The categories of this paper are: eess
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The categories of this paper are: nlin
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The categories of this paper are: ao-sci
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The categories of this paper are: chao-dyn
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The categories of this paper are: atom-ph
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The categories of this paper are: physics
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The categories of this paper are: supr-con
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The categories of this paper are: alg-geom
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The categories of this paper are: gr-qc