论文标题

在3道齿中的杆包装的几何形状上

On the geometry of rod packings in the 3-torus

论文作者

Hui, Connie On Yu, Purcell, Jessica S.

论文摘要

3道齿中的杆堆编码晶体结构中某些晶体结构的信息。它们可以被视为三道龙的链接,而三个manifold几何形状和拓扑的工具可用于研究其补充。在本文中,我们启动使用几何化来研究这种包装。我们分析了简单棒填料的补充的几何结构,并找到双曲线和塞弗特纤维的家族。

Rod packings in the 3-torus encode information of some crystal structures in crystallography. They can be viewed as links in the 3-torus, and tools from 3-manifold geometry and topology can be used to study their complements. In this paper, we initiate the use of geometrisation to study such packings. We analyse the geometric structures of the complements of simple rod packings, and find families that are hyperbolic and Seifert fibred.

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