Achiral 1-cusped hyperbolic 3-manifolds not coming from amphicheiral null-homologous knot complements

DOI10.1134/S199508021809038XzbMath1409.57019arXiv1709.09418MaRDI QIDQ669534

Juan-Miguel Gracia

Publication date: 15 March 2019

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.09418

zbMATH Keywords

bandingamphicheiral knotachiral hyperbolic 3-manifoldchirally cosmetic fillingchirally cosmetic surgery

Mathematics Subject Classification ID

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

Cites Work

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• Cosmetic surgeries on knots in \(S^3\)
• Unknotting operations involving trivial tangles
• Dehn filling of the ``magic 3-manifold
• On the knot complement problem for non-hyperbolic knots
• Banding, twisted ribbon knots, and producing reducible manifolds via Dehn surgery
• Cosmetic banding on knots and links
• Cosmetic surgery and the \(SL(2,\mathbb{C})\) Casson invariant for two-bridge knots
• A note on Jones polynomial and cosmetic surgery
• Symmetries of spatial graphs and Simon invariants
• Computation of Gordian distances and H2-Gordian distances of knots

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