On minimal ideal triangulations of cusped hyperbolic 3-manifolds

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.

arXiv comment34 pages, 20 figures, Accepted for publication by the Journal of Topology

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Cited by in corpus (3)

• Counting essential surfaces in 3-manifolds
• Complexity of 3-manifolds obtained by Dehn filling
• Slope norm and an algorithm to compute the crosscap number