7 citations · 35 across the 21 of their papers we have counts for
5 papers · 1 filter
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…
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…
Noncommutative Poisson structures, derived representation schemes and Calabi-Yau algebras
Yuri Berest, Xiaojun Chen, Farkhod Eshmatov +1
Recantly, William Crawley-Boevey proposed the definition of a Poisson structure on a noncommutative algebra based on the Kontsevich principle. His idea was to find the {\it wea…
Batalin-Vilkovisky coalgebra of string topology
Xiaojun Chen, Wee Liang Gan
We show that the reduced Hochschild homology of a DG open Frobenius algebra has the natural structure of a Batalin-Vilkovisky coalgebra, and the reduced cyclic homology has the nat…