3 papers
math.RT2026
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…
math.AC2025
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…
math.AG2024
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…