Lie$_\infty$ structure on the negative cyclic homology of Calabi-Yau algebras.
2019
In this paper, we study the Lie$_\infty$ (also called 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 Lie$_\infty$ algebras are also discussed under some additional conditions.
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