论文标题
表面上的墙壁结构
Wall-crossing structures on surfaces
论文作者
论文摘要
Bridgeland稳定条件的家族诱导稳定数据，隔离结构和动机霍尔代数上的散射图。如果家族的稳定性条件最多具有全球尺寸，则可以将这些结构转移到量子曲线上。我们表明，具有NEF抗态束的表面上的几何稳定性条件具有全球尺寸2，并且我们研究了由此产生的稳定性数据。我们提出了一个猜想，将这个家族与具有潜力的箭量相关的稳定数据家族有关，并验证了投影平面的猜想。
Families of Bridgeland stability conditions induce families of stability data, wall-crossing structures and scattering diagrams on the motivic Hall algebra. These structures can be transferred to the quantum torus if the stability conditions of the family have global dimension at most 2. We show that geometric stability conditions on surfaces with nef anticanonical bundle have global dimension 2 and we study the resulting family of stability data. We formulate a conjecture relating this family to the family of stability data associated with a quiver with potential and we verify this conjecture for the projective plane.
