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arXiv:math/0309369 [math.AT]AbstractReferencesReviewsResources

On Kontsevich's Hochschild cohomology conjecture

P. Hu, I. Kriz, A. A. Voronov

Published 2003-09-22, updated 2005-01-07Version 2

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.

Comments: 29 pages; final version, to appear in Compos. Math
Categories: math.AT, math.QA, math.RA
Subjects: 16E40, 18D50, 17A30, 17A42, 18C15, 55P48
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