On minimal ideal triangulations of cusped hyperbolic 3-manifolds

被引：4

作者：

Jaco, William ^{[1
]}

Rubinstein, Hyam ^{[2
]}

Spreer, Jonathan ^{[3
]}

Tillmann, Stephan ^{[3
]}

机构：

[1] Oklahoma State Univ, Dept Math, Stillwater, OK 74078 USA

[2] Univ Melbourne, Sch Math & Stat, Parkville, Vic 3010, Australia

[3] Univ Sydney, Sch Math & Stat F07, Sydney, NSW 2006, Australia

来源：

JOURNAL OF TOPOLOGY | 2020年 / 13卷 / 01期

基金：

澳大利亚研究理事会;

关键词：

57Q15; 57N10; 57M50; 57M27 (primary); CANONICAL TRIANGULATIONS; BOUNDS; DECOMPOSITIONS; SURFACES;

D O I：

10.1112/topo.12127

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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 Z2-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.

引用

页码：308 / 342

页数：35

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