3 papers
math.RT2025
Stability Conditions and Algebraic Hearts for Acyclic Quivers
Takumi Otani, Dongjian Wu
We study stability conditions on the derived category of a finite connected acyclic quiver. We prove that, for any stability condition on the derived category, its heart can be obt…
math.RT2025
A counterexample to the Jordan-Hölder property for polarizable semiorthogonal decompositions
Fabian Haiden, Dongjian Wu
We show that the Jordan-Hölder property fails for polarizable semiorthogonal decompositions -- those where every factor admits a Bridgeland stability condition. Counterexamples exi…
math.AG2024
Relative Stability Conditions on Triangulated Categories
Bowen Liu, Dongjian Wu
We introduce the notion of relative stability conditions on triangulated categories with respect to left admissible subcategories, based on arXiv:math/0212237, and demonstrate the…