59 citations · 352 across the 31 of their papers we have counts for
32 papers
A differential graded approach to the silting theorem
Zongzhen Xie, Dong Yang, Houjun Zhang
A silting theorem was established by Buan and Zhou as a generalisation of the classical tilting theorem of Brenner and Butler. In this paper, we give an alternative proof of the th…
Relative singularity categories III: Cluster resolutions
Martin Kalck, Dong Yang
We build foundations of an approach to study canonical forms of -Calabi--Yau triangulated categories with cluster-tilting objects, using dg algebras and relative singularity cat…
Some examples of -structures for finite-dimensional algebras
Dong Yang
We describe the heart of the canonical -structure on the perfect derived category of a strictly positive graded algebra as the module category over the quadratic dual. Applying…
The interplay between 2-and-3-Calabi--Yau triangulated categories
Dong Yang
This short note surveys the constructions of 3-Calabi--Yau triangulated categories with simple-minded collections due to Ginzburg and Kontsevich--Soibelman and the constructions of…
The equivalence of two discretenesses of triangulated categories
Lingling Yao, Dong Yang
Given an ST-triple one can associate a co--structure on and a -structure on . It is shown that the discreteness of $\…
Relative singularity categories II: DG models
Martin Kalck, Dong Yang
We study the relationship between singularity categories and relative singularity categories and discuss constructions of differential graded algebras of relative singularity categ…