Previous work of the authors studies minimal triangulations of closed 3‐manifolds using a characterisation of low degree edges, embedded layered solid torus subcomplexes and 1‐dimensional ${\mathbb{Z}}_2$‐cohomology. The underlying blueprint is now used in the study of minimal ideal triangulations. As an application, it is shown that the monodromy ideal triangulations of the hyperbolic once‐punctured torus bundles are minimal.

中文翻译：

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尖锐的双曲三流形的最小理想三角剖分

作者的先前工作使用低度边缘，嵌入式分层固体环面亚复合物和一维特征来研究封闭的3个歧管的最小三角剖分 ${\mathbb{ž}}_2$同源性。现在，基本蓝图已用于最小理想三角剖分的研究中。作为一个应用，它表明双曲线一次穿刺的圆环束的单峰理想三角剖分是最小的。