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On Kontsevich's Hochschild cohomology conjecture

P. Hu·I. Kriz·A. A. Voronov
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Abstract

Let an n-algebra mean an algebra over the chain complex of the little n-cubes operad. We give a proof of Kontsevich's conjecture, which states that for a suitable notion of Hochschild cohomology in the category of n-algebras, the Hochschild cohomology complex of an n-algebra is an (n+1)-algebra. This generalizes a conjecture by Deligne for n=1, now proven by several authors.

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BibTeXRIS

P. Hu, I. Kriz, A. A. Voronov. 2005-01-07. On Kontsevich's Hochschild cohomology conjecture. https://arxiv.org/abs/math/0309369

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