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On Kontsevich's Hochschild cohomology conjecture
Published online by Cambridge University Press: 13 January 2006
Abstract
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Generalizing a conjecture of Deligne, Kontsevich proposed that there should be a notion of Hochschild cohomology of algebras over the little cube operad (or its chain complex) which in a natural way generalizes Hochschild cohomology of associative algebras. He moreover conjectured that the Hochschild cohomology, in this new sense, of an algebra over the little k-cube operad is an algebra over the little (k + 1)-cube operad. In this paper, we precisely state and prove this conjecture.
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- Research Article
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- Foundation Compositio Mathematica 2006
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