关于秩二Donaldson-Thomas不变量的计算
代数几何
2009-12-17 v2
摘要
对于Calabi-Yau 3流形X，我们显式计算了计数满足特定稳定性条件的对(F, V)的Donaldson-Thomas型不变量，其中F是X上的零维凝聚层，V⊂F是二维线性子空间。这是由Li、Behrend-Fantechi和Levine-Pandharipande研究的秩一DT不变量的秩二版本。我们使用了Joyce-Song和Kontsevich-Soibelman建立的DT不变量的墙交叉公式。
引用
@article{arxiv.0912.2507,
title = {On a computation of rank two Donaldson-Thomas invariants},
author = {Yukinobu Toda},
journal= {arXiv preprint arXiv:0912.2507},
year = {2009}
}
备注
The computation of \Omega(2, 3) was wrong in the first version, and I have corrected it