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

12 Oct 2019  ·  Chen Xiaojun, Eshmatov Farkhod, Liu Leilei ·

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.

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Rings and Algebras Algebraic Topology