标题： 稳定散射图和箭袋覆盖 显示英文标题

标题： Stability scattering diagrams and quiver coverings

摘要： 给定一个带有势的箭图的覆盖，我们证明在允许良好分次的假设下，相关的Bridgeland稳定性散射图通过限制操作相关联。我们将这一结果应用于与标记曲面相关的带有势的箭图。结合第二和第三作者的最新结果，我们的发现表明，一次穿孔闭合曲面的bracelets基与相关稳定性散射图的theta基一致，这些稳定性散射图除了在一次穿孔环面的情况下外，与其他Gross-Hacking-Keel-Kontsevich的簇散射图一致。 显示英文摘要

摘要： Given a covering of a quiver (with potential), we show that the associated Bridgeland stability scattering diagrams are related by a restriction operation under the assumption of admitting a nice grading. We apply this to quivers with potential associated to marked surfaces. In combination with recent results of the second and third authors, our findings imply that the bracelets basis for a once-punctured closed surface coincides with the theta basis for the associated stability scattering diagram, and these stability scattering diagrams agree with the corresponding cluster scattering diagrams of Gross-Hacking-Keel-Kontsevich except in the case of the once-punctured torus.