A new family of minimal ideal triangulations of cusped hyperbolic 3-manifolds

Abstract

Previous work of the authors with Bus Jaco determined a lower bound on the complexity of cusped hyperbolic 3-manifolds and showed that it is attained by the monodromy ideal triangulations of once-punctured torus bundles. This paper exhibits an infinite family of minimal ideal triangulations of Dehn fillings on the link $8_9^3$ that also attain this lower bound on complexity.

18 pages, 10 figures, 3 tables