The invertibility problem on amphicheiral excellent knots

DOI10.3792/pjaa.55.399zbMath0445.57003OpenAlexW1970342726MaRDI QIDQ1145392

Akio Kawauchi

Publication date: 1979

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.55.399

zbMATH Keywords

knots whose complement has a hyperbolic structurenon-invertible knots

Mathematics Subject Classification ID

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Cites Work

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• Polynomials of amphicheiral knots
• Non-invertible knots exist
• On involutions of the 3-sphere
• On periodic knots
• Seminar on Transformation Groups. (AM-46)
• Surgically Transforming Links into Noninvertible Knots
• Strong Rigidity of Locally Symmetric Spaces. (AM-78)