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

2021/12/03 by J Rubinstein, Rubinstein, J. Hyam, Jonathan Spreer +3
Mathematics · #57M25 #57N10 #Advanced Combinatorial Mathematics #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Mathematical Dynamics and Fractals

paper · pdf · doi:10.48550/arxiv.2112.01654

openalex publication_date 2021/12/03 · openalex created_date 2022/01/25 · openalex updated_date 2026/07/28

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 8³₉ that also attain this lower bound on complexity.

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