Rigorous computations with an approximate Dirichlet domain

DOI10.1016/j.topol.2019.106900zbMath1458.57028arXiv1703.02595OpenAlexW2977129729WikidataQ127211234 ScholiaQ127211234MaRDI QIDQ2334020

Maria Trnkova

Publication date: 6 November 2019

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.02595

zbMATH Keywords

hyperbolic 3-manifoldlength spectrumDirichlet domain

Mathematics Subject Classification ID

Discrete subgroups of Lie groups (22E40) General geometric structures on low-dimensional manifolds (57M50)

Related Items (2)

Floer homology, group orderability, and taut foliations of hyperbolic 3-manifolds ⋮ The Seiberg-Witten equations and the length spectrum of hyperbolic three-manifolds

Uses Software

• SnapPea
• SnapPy
• Snap

Cites Work

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• Exceptional hyperbolic 3-manifolds
• Isometry transformations of hyperbolic 3-manifolds
• Isospectral and non-isometric Riemannian manifolds
• Lectures on hyperbolic geometry
• Traces, lengths, axes and commensurability
• The shape of hyperbolic Dehn surgery space
• On Poincaré's theorem for fundamental polygons
• Verified Computations for Hyperbolic 3-Manifolds
• Applications of a Computer Implementation of Poincare's Theorem on Fundamental Polyhedra
• Practical bounds for a Dehn parental test
• Symmetries, Isometries and Length Spectra of Closed Hyperbolic Three-Manifolds
• Spectrally similar incommensurable 3‐manifolds
• Strong Rigidity of Locally Symmetric Spaces. (AM-78)

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