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

JOURNAL OF GEOMETRY AND PHYSICS

卷:147

Article

Chen, Xiaojun¹  Eshmatov, Farkhod¹  Liu, Leilei¹ 

[1] Sichuan Univ, Dept Math, Chengdu 610064, Sichuan, Peoples R China

关键词: Cyclic homology;    Batalin-Vilkovisky;    Unimodular Poisson;    Calabi-Yau;    Deformation quantization;   

DOI  :  10.1016/j.geomphys.2019.103522

来源: Elsevier

【 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.

【 授权许可】

Free