7 citations · 32 across the 18 of their papers we have counts for
19 papers
Deformation and quantization of the Loday-Quillen-Tsygan isomorphism for Calabi-Yau categories
Xiaojun Chen, Farkhod Eshmatov, Maozhou Huang
For an associative algebra , the famous theorem of Loday, Quillen and Tsygan says that there is an isomorphism between the graded symmetric product of the cyclic homology of …
Noncommutative Poisson structure and invariants of matrices
Farkhod Eshmatov, Xabier García-Martínez, Rustam Turdibaev
We introduce a novel approach that employs techniques from noncommutative Poisson geometry to comprehend the algebra of invariants of two matrices. We entirely solve th…
On the coordinate rings of Calogero-Moser spaces and the invariant commuting variety of a pair of matrices
Farkhod Eshmatov, Xabier García-Martínez, Zafar Normatov +1
This paper presents a comprehensive description of the coordinate rings and Poisson brackets associated with the fourth Calogero-Moser space and invariant commuting pairs of matric…
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…
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…
On transitive action on quiver varieties
Xiaojun Chen, Alimjon Eshmatov, Farkhod Eshmatov +1
Associated with each finite subgroup of there is a family of noncommutative algebras quantizing . Let be the group o…