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A remark on Hochschild cohomology and Koszul duality

Published 3 Nov 2019 in math.KT | (1911.00965v2)

Abstract: Applying recent results by Lowen-Van den Bergh we show that Hochschild cohomology is preserved under Koszul-Moore duality as a Gerstenhaber algebra. More precisely, the corresponding Hochschild complexes are linked by a quasi-isomorphism of B-infinity-algebras.

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