论文标题
本地分类DT/PT对应关系
The local categorical DT/PT correspondence
论文作者
论文摘要
在本文中，我们证明了包含三个环颤抖的某些颤动的分类墙壁涂线公式，我们称之为DT/PT Quivers。这些要的是在卡拉比远3倍上dt/pt模量空间的墙面划线的延伸。所得公式是一个半双歧分解，涉及以前论文中研究的准BPS类别，我们将其视为数值DT/PT对应关系的分类类似物。作为应用程序，我们证明了仿射三维空间中降低的平面曲线支撑的滑轮的分类DT/PT对应关系。
In this paper, we prove the categorical wall-crossing formula for certain quivers containing the three loop quiver, which we call DT/PT quivers. These quivers appear as Ext-quivers for the wall-crossing of DT/PT moduli spaces on Calabi-Yau 3-folds. The resulting formula is a semiorthogonal decomposition which involves quasi-BPS categories studied in our previous papers, and we regard it as a categorical analogue of the numerical DT/PT correspondence. As an application, we prove a categorical DT/PT correspondence for sheaves supported on reduced plane curves in the affine three dimensional space.
