论文标题
本地表面的分类DT/PT通信和准BPS类别
The categorical DT/PT correspondence and quasi-BPS categories for local surfaces
论文作者
论文摘要
我们构建了Donaldson-Thomas（DT）类别的半三相分解，以减少本地表面上的曲线类别，用于准BPS类别和Pandharipande-Thomas（PT）类别的产品，从而为Calabi-Yau 3-Foldss的数值DT/PT对应。主要成分是用于DT/PT QUIVERS的绝对墙壁交叉公式（在DT/PT壁式上显示为Ext-Quivers），在我们之前的论文中证明了。我们还研究了局部表面上的点点类别，并提出了其K理论类似于已经以三维仿射空间而闻名的公式的猜想计算。
We construct semiorthogonal decompositions of Donaldson-Thomas (DT) categories for reduced curve classes on local surfaces into products of quasi-BPS categories and Pandharipande-Thomas (PT) categories, giving a categorical analogue of the numerical DT/PT correspondence for Calabi-Yau 3-folds. The main ingredient is a categorical wall-crossing formula for DT/PT quivers (which appear as Ext-quivers in the DT/PT wall-crossing) proved in our previous paper. We also study quasi-BPS categories of points on local surfaces and propose conjectural computations of their K-theory analogous to formulas already known for the three dimensional affine space.
