Cusp types of quotients of hyperbolic knot complements

DOI10.1090/bproc/104zbMath1504.57024arXiv2001.05066OpenAlexW3034077194WikidataQ115546434 ScholiaQ115546434MaRDI QIDQ5099092

Neil R. Hoffman

Publication date: 31 August 2022

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

Full work available at URL: https://arxiv.org/abs/2001.05066

zbMATH Keywords

commensurabilityquotients of knot complementsrigid cusps

Mathematics Subject Classification ID

General geometric structures on low-dimensional manifolds (57M50) Low-dimensional topology of special (e.g., branched) coverings (57M12) Knot theory (57K10) Hyperbolic 3-manifolds (57K32) General topology of 3-manifolds (57K30)

Uses Software

• SnapPy

Cites Work

• Knot complements, hidden symmetries and reflection orbifolds
• Knot commensurability and the Berge conjecture
• On knot complements that decompose into regular ideal dodecahedra
• Small knot complements, exceptional surgeries and hidden symmetries
• Geometrization of 3-dimensional orbifolds
• Three-dimensional orbifolds and cone-manifolds
• Symmetries and hidden symmetries of \((\varepsilon, d_L)\)-twisted knot complements
• The Poincaré homology sphere, lens space surgeries, and some knots with tunnel number two
• Commensurators of Cusped Hyperbolic Manifolds
• Arithmeticity of Knot Complements
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