Refined open non-commutative Donaldson-Thomas invariants for small crepant resolutions

Refined open non-commutative Donaldson-Thomas invariants for small crepant resolutions
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DOI:
10.2140/pjm.2011.254.173
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发表时间:
2009-07
期刊:
arXiv: Algebraic Geometry
影响因子:
--
通讯作者:
K. Nagao
K. Nagao
中科院分区:
其他
文献类型:
--
作者:
K. Nagao

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本文的目的是研究与精化拓扑点相对应的非对易Donaldson-Thomas理论在环面Calabi-Yau 3-折叠的小初始分解中的应用。我们使用二聚体模型定义了不变量,并给出了“穿墙”公式。特别地,我们得到了在“穿墙”情况下不变的归一化母函数。
The aim of this paper is to study an analog of non-commutative Donaldson-Thomas theory corresponding to the refined topological vertex for small crepant resolutions of toric Calabi-Yau 3-folds. We define the invariants using dimer models and provide "wall-crossing" formulas. In particular, we get normalized generating functions which are unchanged under "wall-crossing".