Stability Conditions and Algebraic Hearts for Acyclic Quivers
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866915543464804352 |
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| author | Otani, Takumi Wu, Dongjian |
| author_facet | Otani, Takumi Wu, Dongjian |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_08961 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Stability Conditions and Algebraic Hearts for Acyclic Quivers Otani, Takumi Wu, Dongjian Representation Theory Algebraic Geometry 16G20 (Primary), 16E35, 17B22 (Secondary) 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. |
| title | Stability Conditions and Algebraic Hearts for Acyclic Quivers |
| topic | Representation Theory Algebraic Geometry 16G20 (Primary), 16E35, 17B22 (Secondary) |
| url | https://arxiv.org/abs/2510.08961 |