Hyperbolic tunnel-number-one knots with Seifert-fibered Dehn surgeries
DOI10.1142/S0218216520500753zbMath1462.57007arXiv2003.13978OpenAlexW3089153173WikidataQ115523472 ScholiaQ115523472MaRDI QIDQ3388026
Publication date: 8 January 2021
Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2003.13978
Dehn surgeryhyperbolic knottunnel numberhandlebodyslopeprimitive/Seifert positionHeegaard diagramHeegaard decompositionstrongly invertible knotSeifert-fibered spacemeridional curveprimitive curveR-R diagram
Surgery and handlebodies (57R65) Topology of vector bundles and fiber bundles (57R22) Generalizations of fiber spaces and bundles in algebraic topology (55R65) 2-dimensional topology (including mapping class groups of surfaces, Teichmüller theory, curve complexes, etc.) (57K20) Knot theory (57K10) Hyperbolic 3-manifolds (57K32)
Cites Work
- Unnamed Item
- Neighbors of Seifert surgeries on a trefoil knot in the Seifert surgery network
- Seifert fibered surgeries on strongly invertible knots without primitive/Seifert positions
- An algorithm for recognizing \(S^ 3\) in 3-manifolds with Heegaard splittings of genus two
- On Culler-Shalen seminorms and Dehn filling
- Small Seifert-fibered Dehn surgery on hyperbolic knots
- Dehn surgeries on knots creating essential tori. I
- Networking Seifert Surgeries on Knots
- Band Sums of Links which Yield Composite Links. The Cabling Conjecture for Strongly Invertible Knots
- A Seifert Fibered Manifold with Infinitely Many Knot-Surgery Descriptions
- Seifert-fibered surgeries which do not arise from primitive/Seifert-fibered constructions
- Dehn surgery on knots
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