paper

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

arXiv:1903.01437 · doi:10.1016/j.geomphys.2019.103522

Abstract

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.

26 pages. Corrected some inaccuracies. arXiv admin note: text overlap with arXiv:1701.06112