%0 Journal Article
%T On Kontsevich's Hochschild cohomology conjecture
%A P. Hu
%A I. Kriz
%A A. A. Voronov
%J Mathematics
%D 2003
%I arXiv
%X 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.
%U http://arxiv.org/abs/math/0309369v2