Stability conditions and semiorthogonal decompositions I: quasi-convergence
| Autor: | Halpern-Leistner, Daniel, Jiang, Jeffrey, Robotis, Antonios-Alexandros |
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| Rok vydání: | 2023 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | We develop a framework relating semiorthogonal decompositions of a triangulated category $\mathcal{C}$ to paths in its space of stability conditions. We prove that when $\mathcal{C}$ is the homotopy category of a smooth and proper idempotent complete pre-triangulated dg-category, every semiorthogonal decomposition whose factors admit a Bridgeland stability condition can be obtained from our framework. Comment: 41 pages, 2 figures, several typos corrected |
| Databáze: | arXiv |
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