On minimal ideal triangulations of cusped hyperbolic 3-manifolds
Geometric Topology
2019-10-24 v2
Abstract
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 -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.
Keywords
Cite
@article{arxiv.1808.02836,
title = {On minimal ideal triangulations of cusped hyperbolic 3-manifolds},
author = {William Jaco and Hyam Rubinstein and Jonathan Spreer and Stephan Tillmann},
journal= {arXiv preprint arXiv:1808.02836},
year = {2019}
}
Comments
34 pages, 20 figures, Accepted for publication by the Journal of Topology