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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
Quadratic Differentials as Stability Conditions of Graded Skew-gentle Algebras
Suiqi Lu, Yu Qiu, Dongjian Wu
We prove that the principal component of the exchange graph of hearts of a graded skew-gentle algebra can be identified with the corresponding exchange graph of S-graphs, using the…
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 ex…