1 citations · 2 across the 6 of their papers we have counts for
7 papers
Shifted double Poisson structures and noncommutative Poisson extensions
Leilei Liu, Jieheng Zeng, Hu Zhao
We develop a theory of noncommutative Poisson extensions. For an augmented dg algebra \(A\), we show that any shifted double Poisson bracket on \(A\) induces a graded Lie algebra s…
On the graded singularity category of Abelian quotient singularities, I. Smooth categorical compactification
Xiaojun Chen, Jieheng Zeng
Given a singularity which is the quotient of an affine space by a finite Abelian group , we study the DG enhancement $\mathcal{D}^{b}(\mathrm{tails}…
Singularity categories and singular loci of certain quotient singularities
Xiaojun Chen, Jieheng Zeng
Let be a finite dimensional -vector space, where is an algebraic closed field of characteristic zero. Let be a finite abelian group, and den…
DG singular equivalence and singular locus
Leilei Liu, Jieheng Zeng
For a commutative Gorenstein Noetherian ring , we construct an affine scheme solely from DG singularity category of such that there is a finite surjective mo…
Tilting objects in singularity categories of toric Gorenstein varieties
Xiaojun Chen, Leilei Liu, Jieheng Zeng
We study certain toric Gorenstein varieties with isolated singularities which are the quotient spaces of generic unimodular representations by the one-dimensional torus, or by the…
Batalin-Vilkovisky algebra structure on Poisson manifolds with diagonalizable modular symmetry
Xiaojun Chen, Leilei Liu, Sirui Yu +1
We study the ``twisted" Poincaré duality of smooth Poisson manifolds, and show that, if the modular vector field is diagonalizable, then there is a mixed complex associated to the…
Derived categories and Calabi-Yau algebras
Sirui Yu, Jieheng Zeng
We study the derived equivalence of Calabi-Yau algebras and show that, for two derived Morita equivalent algebras, if one is Calabi-Yau, then so is the other. Keywords: Derived equ…