Genus two Goeritz equivalence in \(S^3\)

DOI10.1016/j.topol.2022.108354zbMath1506.57008arXiv2204.10719OpenAlexW4310713222MaRDI QIDQ2678939

Brandy Guntel Doleshal, Matt Rathbun

Publication date: 18 January 2023

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

Full work available at URL: https://arxiv.org/abs/2204.10719

zbMATH Keywords

homologyhomotopyknot theoryhandlebodyGoeritz group

Mathematics Subject Classification ID

Topological methods in group theory (57M07) General topology of 3-manifolds (57K30)

Cites Work

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• Seifert fibered surgeries with distinct primitive/Seifert positions
• A presentation for the automorphisms of the 3-sphere that preserve a genus two Heegaard splitting
• Small Seifert-fibered Dehn surgery on hyperbolic knots
• Automorphisms of the 3-sphere preserving a genus two Heegaard splitting
• Twisted Torus Knots That Are Unknotted
• KNOTS WITH DISTINCT PRIMITIVE/PRIMITIVE AND PRIMITIVE/SEIFERT REPRESENTATIVES
• Homeomorphisms of S 3 Leaving a Heegaard Surface Invariant
• Additional cases of positive twisted torus knots
• FIBERED AND PRIMITIVE/SEIFERT TWISTED TORUS KNOTS
• Homeomorphisms of the 3-sphere that preserve a Heegaard splitting of genus two

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