论文标题
乔伊斯在二次差异空间上的结构
Joyce structures on spaces of quadratic differentials
论文作者
论文摘要
考虑配备有简单零的二次差分的属g> 1的空间参数曲线。我们使用异构粒细胞变形的几何形状在其切线束的总空间上构造复杂的超卡勒结构。这提供了最近与唐纳森 - 托马斯理论有关的乔伊斯结构的非平凡例子。
Consider the space parameterising curves of genus g>1 equipped with a quadratic differential with simple zeroes. We use the geometry of isomonodromic deformations to construct a complex hyperkahler structure on the total space of its tangent bundle. This provides non-trivial examples of the Joyce structures recently introduced in relation to Donaldson-Thomas theory.
