论文标题
变形G_2-Instantons/Donaldson-Thomas Connections的示例
Examples of deformed G_2-instantons/Donaldson-Thomas connections
论文作者
论文摘要
在本说明中，我们提供了变形G_2-Instantons的第一个非平凡示例，最初称为变形Donaldson-Thomas Connections。结果，我们看到了如何使用变形的G_2-Instantons在3-Sasakian 7-manifolds上区分几乎并行的G_2结构和等距G_2结构。我们的示例给出了具有阻塞的变形理论和情况的非平凡变形G_2-Instantons，其中变形G_2-Instantons的模量空间具有不同维度的组件。我们最终研究了示例与Chern-Simons型功能之间的关系，该功能已将G_2-Instantons变形为关键点。
In this note, we provide the first non-trivial examples of deformed G_2-instantons, originally called deformed Donaldson-Thomas connections. As a consequence, we see how deformed G_2-instantons can be used to distinguish between nearly parallel G_2-structures and isometric G_2-structures on 3-Sasakian 7-manifolds. Our examples give non-trivial deformed G_2-instantons with obstructed deformation theory and situations where the moduli space of deformed G_2-instantons has components of different dimensions. We finally study the relation between our examples and a Chern-Simons type functional which has deformed G_2-instantons as critical points.
