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arXiv · 2510.08961

Stability Conditions and Algebraic Hearts for Acyclic Quivers

Takumi Otani·Dongjian Wu
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Abstract

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 obtained from an algebraic heart by a rotation of phases. Consequently, we establish the connectedness of the space of stability conditions. Furthermore, we prove that every stability condition $\sigma$ admits a full $\sigma$-exceptional collection.

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Takumi Otani, Dongjian Wu. 2025-10-10. Stability Conditions and Algebraic Hearts for Acyclic Quivers. https://arxiv.org/abs/2510.08961

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