Practical bounds for a Dehn parental test

DOI10.1090/proc/14207zbMath1411.57033arXiv1504.01674OpenAlexW2963344036WikidataQ125660289 ScholiaQ125660289MaRDI QIDQ4555836

Robert C. Haraway III

Publication date: 23 November 2018

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

Full work available at URL: https://arxiv.org/abs/1504.01674

zbMATH Keywords

hyperbolic 3-manifoldsDehn fillings

Mathematics Subject Classification ID

General geometric structures on low-dimensional manifolds (57M50) Software, source code, etc. for problems pertaining to manifolds and cell complexes (57-04)

Related Items (max. 100)

Rigorous computations with an approximate Dirichlet domain

Uses Software

• Coq
• SnapPy
• GitHub
• cheeky
• Coq Interval
• hikmot

Cites Work

• Mom technology and volumes of hyperbolic 3-manifolds
• The homeomorphism problem for closed 3-manifolds
• Volumes of hyperbolic three-manifolds
• Word hyperbolic Dehn surgery
• Bounds on exceptional Dehn filling
• Algorithmic detection and description of hyperbolic structures on closed 3-manifolds with solvable word problem
• Algorithmic homeomorphism of 3-manifolds as a corollary of geometrization
• The shape of hyperbolic Dehn surgery space
• Dehn filling, volume, and the Jones polynomial
• The Big Dehn Surgery Graph and the link of 𝑆³
• Verified Computations for Hyperbolic 3-Manifolds
• On the number of hyperbolic 3-manifolds of a given volume
• Minimum volume cusped hyperbolic three-manifolds
• Lower bounds on volumes of hyperbolic Haken 3-manifolds
• Minimum volume hyperbolic 3-manifolds
• Three dimensional manifolds, Kleinian groups and hyperbolic geometry
• Computing Arithmetic Invariants of 3-Manifolds
• Symmetries, Isometries and Length Spectra of Closed Hyperbolic Three-Manifolds
• The lowest volume 3–orbifolds with high torsion

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