{"title":"A remark on Hochschild cohomology and Koszul\n duality","authors":"B. Keller","doi":"10.1090/CONM/761/15312","DOIUrl":null,"url":null,"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.","PeriodicalId":325430,"journal":{"name":"Advances in Representation Theory of\n Algebras","volume":"13 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2019-11-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Advances in Representation Theory of\n Algebras","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1090/CONM/761/15312","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 4
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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