5 citations · 13 across the 10 of their papers we have counts for
10 papers
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…
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…
Perverse Sheaves and Knot Contact Homology
Yuri Berest, Alimjon Eshmatov, Wai-kit Yeung
In this paper, which is mostly a research announcement, we give a new algebraic construction of knot contact homology in the sense of L. Ng [Ng05a]. For a link in $ {\mathbb R}…
Automorphisms and Ideals of Noncommutative Deformations of
Xiaojun Chen, Alimjon Eshmatov, Farkhod Eshmatov +1
Let be a family of algebras \textit{quantizing} the coordinate ring of , where is a finite subgroup of , and let be…
The derived non-commutative Poisson bracket on Koszul Calabi-Yau algebras
Xiaojun Chen, Alimjon Eshmatov, Farkhod Eshmatov +1
Let be a Koszul (or more generally, -Koszul) Calabi-Yau algebra. Inspired by the works of Kontsevich, Ginzburg and Van den Bergh, we show that there is a derived non-commuta…
The group of unimodular automorphisms of is hopfian
Alimjon Eshmatov, Farkhod Eshmatov
Let be the group of unimodular automorphisms of . In the paper we prove two interesting results about this group. The first one is about absence of non-trivial fin…