论文标题
唐纳森 - 托马斯不变的复杂Hyperkähler结构
Complex hyperkähler structures defined by Donaldson-Thomas invariants
论文作者
论文摘要
乔伊斯结构的概念是在Arxiv：1912.06504中引入的，以描述Donaldson-Thomas不变性自然编码Cy3类别的稳定性条件的几何结构。在本文中，我们表明，复杂歧管上的乔伊斯结构在其切线束的总空间上定义了复杂的Hyperkähler结构，并以几何学术语对所得的HyperKähler指标进行表征。
The notion of a Joyce structure was introduced in arXiv:1912.06504 to describe the geometric structure on the space of stability conditions of a CY3 category naturally encoded by the Donaldson-Thomas invariants. In this paper we show that a Joyce structure on a complex manifold defines a complex hyperkähler structure on the total space of its tangent bundle, and give a characterisation of the resulting hyperkähler metrics in geometric terms.
