Constructing infinitely many geometric triangulations of the figure eight knot complement

DOI10.1090/proc/13076zbMath1369.57017arXiv1508.04942OpenAlexW2963726522MaRDI QIDQ2817030

Aochen Duan, Blake Dadd

Publication date: 26 August 2016

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.04942

zbMATH Keywords

cusphyperbolic 3-manifoldsPachner movesgeometric triangulationsPachner graphsister manifold

Mathematics Subject Classification ID

Triangulating manifolds (57Q15) General geometric structures on low-dimensional manifolds (57M50) Triangulating (57R05)

Related Items (4)

Infinitely many virtual geometric triangulations ⋮ Connectivity of triangulations without degree one edges under 2-3 and 3-2 moves ⋮ Geometric bistellar moves relate geometric triangulations ⋮ Bounds on Pachner moves and systoles of cusped 3-manifolds

Uses Software

• Regina
• SnapPy

Cites Work

• Unnamed Item
• Lectures on hyperbolic geometry
• The orientable cusped hyperbolic \(3\)-manifolds of minimum volume
• TRANSFORMATIONS OF SPECIAL SPINES AND THE ZEEMAN CONJECTURE
• The pachner graph and the simplification of 3-sphere triangulations
• Algorithmic topology and classification of 3-manifolds

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