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

页码：2500 / 2532

页数：33

共 27 条

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