标题： 布罗梅尔环链补集的典范三角剖分 显示英文标题

标题： Canonical triangulations of Dehn fillings of the Borromean rings link complement

摘要： 一个有尖点的双曲3-流形的规范分解集合是一个完整的拓扑不变量。 然而，只有少数无限族的规范分解是已知的。 在本文中，我们找到了 Borromean rings 链环补集及其通过半扭转得到的两个相关流形的 Dehn 粘贴的规范三角剖分。 这些底层的三角剖分已被 Ham 和 Purcell 证明是几何的。 为了获得规范三角剖分，我们展示了几何三角剖分中每个面的局部凸性结果。 显示英文摘要

摘要： The set of canonical decompositions of a cusped hyperbolic 3-manifold is a complete topological invariant. However, there are only a handful of infinite families for which canonical decompositions are known. In this paper, we find canonical triangulations for Dehn fillings of the Borromean rings link complement and two related manifolds obtained by half-twists. The underlying triangulations were shown to be geometric by Ham and Purcell. To obtain canonical triangulations, we show a local convexity result at every face of the geometric triangulation.