通过 perverse sheaves 对 Donaldson-Thomas 不变量的范畴化
代数几何
2012-10-18 v2
摘要
我们证明了在光滑射影 Calabi-Yau 3- fold 上的半稳定 sheaves 模空间上存在一个自然的 perverse sheaf，其局部表现为局部 Chern-Simons 泛函的消失环 perverse sheaf。这为我们提供了一种上同调理论，其 Euler 数即为 Donaldson-Thomas 不变量。
关键词
引用
@article{arxiv.1210.3910,
title = {Categorification of Donaldson-Thomas invariants by Perverse Sheaves},
author = {Young-Hoon Kiem and Jun Li},
journal= {arXiv preprint arXiv:1210.3910},
year = {2012}
}
备注
It was brought to the authors' attention that there is an important sign issue that was overlooked, so this paper is withdrawn by the authors