On minimal ideal triangulations of cusped hyperbolic 3-manifolds

William Jaco; Hyam Rubinstein; Jonathan Spreer; Stephan Tillmann

doi:10.1112/topo.12127

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arXiv · 1808.02836

On minimal ideal triangulations of cusped hyperbolic 3-manifolds

William Jaco·Hyam Rubinstein·Jonathan Spreer·Stephan Tillmann

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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.

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William Jaco, Hyam Rubinstein, Jonathan Spreer, Stephan Tillmann. 2018-08-08. On minimal ideal triangulations of cusped hyperbolic 3-manifolds. https://doi.org/10.1112/topo.12127

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