## On minimal ideal triangulations of cusped hyperbolic 3-manifolds

### William Jaco, Hyam Rubinstein, Jonathan Spreer and Stephan Tillmann

#### 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 $$\mathbb{Z}_2$$-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.

: Primary 57Q15; secondary 57N10, 57M50, 57M27.

This paper is available as a pdf (1168kB) file. It is also on the arXiv: arxiv.org/abs/1808.02836.

 Thursday, October 24, 2019