论文标题
乔伊斯广泛的Kummer构造中的协会子手机
Associative submanifolds in Joyce's generalised Kummer constructions
论文作者
论文摘要
本文构建了通过使用Joyce的广义Kummer Construction解决$ g_2 $ -orbifolds获得的$ g_2 $ manifolds中的关联submanifolds示例。当$ g_2 $ -manifolds接近$ g_2 $ -orbifolds时，协会子曼福尔德的体积往往为零。这部分验证了由于Halverson和Morrison引起的预测。
This article constructs examples of associative submanifolds in $G_2$-manifolds obtained by resolving $G_2$-orbifolds using Joyce's generalised Kummer construction. As the $G_2$-manifolds approach the $G_2$-orbifolds, the volume of the associative submanifolds tends to zero. This partially verifies a prediction due to Halverson and Morrison.
