2025/10/10 by Takumi Otani, Otani, Takumi, Dongjian Wu +1
Computer Science · Mathematics · #16E35 #16G20 (Primary) #17B22 (Secondary) #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Polynomial and algebraic computation #Representation Theory (math.RT)
paper · pdf · doi:10.48550/arxiv.2510.08961
openalex publication_date 2025/10/10 · openalex created_date 2025/10/17 · openalex updated_date 2026/07/28
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 σ admits a full σ-exceptional collection.