On Kontsevich's Hochschild cohomology conjecture

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dc.creatorHu, P.
dc.creatorKriz, I.
dc.creatorVoronov, A. A.
dc.date2003-09-22
dc.date2005-01-07
dc.date.accessioned2026-07-07T05:01:22Z
dc.date.available2026-07-07T05:01:22Z
dc.descriptionLet 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.
dc.description29 pages; final version, to appear in Compos. Math
dc.identifierhttps://arxiv.org/abs/math/0309369
dc.identifierhttp://arxiv.org/abs/math/0309369
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/68641
dc.subjectAlgebraic Topology
dc.subjectQuantum Algebra
dc.subjectRings and Algebras
dc.subject16E40, 18D50 (Primary) 17A30, 17A42, 18C15, 55P48 (Secondary)
dc.titleOn Kontsevich's Hochschild cohomology conjecture
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