Gravity algebra structure on the negative cyclic homology of Calabi-Yau algebras

被引：4
|
作者：
Chen, Xiaojun [1 ]
Eshmatov, Farkhod [1 ]
Liu, Leilei [1 ]
机构：
[1] Sichuan Univ, Dept Math, Chengdu 610064, Sichuan, Peoples R China
来源：
JOURNAL OF GEOMETRY AND PHYSICS | 2020年 / 147卷
关键词：
Cyclic homology; Batalin-Vilkovisky; Unimodular Poisson; Calabi-Yau; Deformation quantization; BATALIN-VILKOVISKY ALGEBRAS; DEFORMATION QUANTIZATION; COHOMOLOGY; DUALITY; FORMALITY; OPERADS;
D O I：
10.1016/j.geomphys.2019.103522
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the gravity algebra structure on the negative cyclic homology or the cyclic cohomology of several classes of algebras. These algebras include: Calabi-Yau algebras, symmetric Frobenius algebras, unimodular Poisson algebras, and unimodular Frobenius Poisson algebras. The relationships among these gravity algebras are also discussed under some additional conditions. (C) 2019 Published by Elsevier B.V.
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页数：19
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