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

被引：14
|
作者：
Chen, Xiaojun [1 ]
Yang, Song [1 ]
Zhou, Guodong [2 ]
机构：
[1] Sichuan Univ, Dept Math, Chengdu 610064, Sichuan, Peoples R China
[2] E China Normal Univ, Shanghai Key Lab PMMP, Dept Math, Shanghai 200241, Peoples R China
来源：
JOURNAL OF PURE AND APPLIED ALGEBRA | 2016年 / 220卷 / 07期
关键词：
CYCLIC HOMOLOGY; DUALIZING COMPLEXES; COHOMOLOGY; RING;
D O I：
10.1016/j.jpaa.2015.11.016
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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(1). This confirms (a generalization of) a conjecture of R. Rouquier. (c) 2015 Elsevier B.V. All rights reserved.
引用
收藏
页码：2500 / 2532
页数：33
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