Quasi-convergence of stability conditions

Daniel Halpern-Leistner; Jeffrey Jiang; Antonios-Alexandros Robotis

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arXiv · 2401.00600

Quasi-convergence of stability conditions

Daniel Halpern-Leistner·Jeffrey Jiang·Antonios-Alexandros Robotis

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Abstract

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.

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BibTeX RIS

Daniel Halpern-Leistner, Jeffrey Jiang, Antonios-Alexandros Robotis. 2023-12-31. Quasi-convergence of stability conditions. https://arxiv.org/abs/2401.00600

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