Batalin-Vilkovisky algebras and the noncommutative Poincaré duality of Koszul Calabi-Yau algebras

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• 作者：Xiaojun Chen^a ; ^{xjchen@scu.edu.cn" class="auth_mail" title="E-mail the corresponding author} ; Song Yang^a ; ^{syang.math@gmail.com" class="auth_mail" title="E-mail the corresponding author} ; Guodong Zhou^b ; ^{gdzhou@math.ecnu.edu.cn" class="auth_mail" title="E-mail the corresponding author}
• 关键词：14A22 ; 16E40 ; 16S38 ; 55U30
• 刊名：Journal of Pure and Applied Algebra
• 出版年：2016
• 出版时间：July 2016
• 年：2016
• 卷：220
• 期：7
• 页码：2500-2532
• 全文大小：617 K

文摘

Let A be a Koszul Calabi–Yau algebra. We show that there exists an isomorphism of Batalin–Vilkovisky algebras between the Hochschild cohomology ring of A   and that of its Koszul dual algebra A^!$A^{!}$. This confirms (a generalization of) a conjecture of R. Rouquier.