ideal triangulations
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scholarly journals On minimal ideal triangulations of cusped hyperbolic 3‐manifolds

2020 ◽  
Vol 13 (1) ◽  
pp. 308-342
Author(s):  
William Jaco ◽  
Hyam Rubinstein ◽  
Jonathan Spreer ◽  
Stephan Tillmann
Keyword(s):  
Minimal Ideal ◽  
Ideal Triangulations

scholarly journals Essential loops in taut ideal triangulations

2020 ◽  
Vol 20 (1) ◽  
pp. 487-501
Author(s):  
Saul Schleimer ◽  
Henry Segerman
Keyword(s):  
Ideal Triangulations

scholarly journals Inflations of ideal triangulations

2014 ◽  
Vol 267 ◽  
pp. 176-224 ◽  
Author(s):  
William Jaco ◽  
J. Hyam Rubinstein
Keyword(s):  
Ideal Triangulations

scholarly journals Ideal triangulations and geometric transitions

2014 ◽  
Vol 7 (4) ◽  
pp. 1118-1154 ◽  
Author(s):  
Jeffrey Danciger
Keyword(s):  
Ideal Triangulations ◽  
Geometric Transitions

Every finite group action on a compact 3-manifold preserves infinitely many hyperbolic spatial graphs

2014 ◽  
Vol 23 (06) ◽  
pp. 1450034 ◽  
Author(s):  
Toru Ikeda
Keyword(s):  
Finite Group ◽  
Group Action ◽  
Group Actions ◽  
Infinite Family ◽  
Finite Group Action ◽  
Finite Group Actions ◽  
Spatial Graph ◽  
Cell Decompositions ◽  
Spatial Graphs ◽  
Ideal Triangulations

We consider symmetries of spatial graphs in compact 3-manifolds described by smooth finite group actions. This paper provides a method for constructing an infinite family of hyperbolic spatial graphs with given symmetry by connecting spatial graph versions of hyperbolic tangles in 3-cells of polyhedral cell decompositions induced from triangulations of the 3-manifolds. This method is applicable also to the case of ideal triangulations.

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