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math.RA2020
Twisted bi-symplectic structure on Koszul twisted Calabi-Yau algebras
Xiaojun Chen, Alimjon Eshmatov, Farkhod Eshmatov +1
For a Koszul Artin-Schelter regular algebra (also called twisted Calabi-Yau algebra), we show that it has a "twisted" bi-symplectic structure, which may be viewed as a noncommutati…
math.RA2019
Koszul duality and the Hochschild cohomology of Artin-Schelter regular algebras
Leilei Liu
We identify two Batalin-Vilkovisky algebra structures, one obtained by Kowalzig and Krahmer on the Hochschild cohomology of an Artin-Schelter regular algebra with semisimple Nakaya…
math.RA2019★ 5 cited
Gravity algebra structure on the negative cyclic homology of Calabi-Yau algebras
Xiaojun Chen, Farkhod Eshmatov, Leilei Liu
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 al…