DEHN SURGERIES ON 2-BRIDGE LINKS WHICH YIELD REDUCIBLE 3-MANIFOLDS

DOI10.1142/S0218216509007233zbMath1203.57001arXivmath/0512116MaRDI QIDQ3398331

Hiroshi Goda, Chuichiro Hayashi, Hyun Jong Song

Publication date: 28 September 2009

Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0512116

zbMATH Keywords

Dehn surgerylens spacetorus knotsatellite knot2-bridge linkcable knotreducible 3-manifold

Mathematics Subject Classification ID

Related Items (6)

Networking Seifert Surgeries on Knots ⋮ Exceptional surgeries on components of 2-bridge links ⋮ A cabling conjecture for knots in lens spaces ⋮ Geometric types of twisted knots ⋮ Satellite (1,1)-knots and meridionally incompressible surfaces ⋮ Computing genera of satellite tunnel number one knots and torti-rational knots

Cites Work

• Incompressible surfaces in 2-bridge knot complements
• Incompressible punctured tori in the complements of alternating knots
• Satellite (1,1)-knots and meridionally incompressible surfaces
• Essential laminations in 3-manifolds
• Elementary surgery along a torus knot
• Computing boundary slopes of 2-bridge links
• Dehn surgery on arborescent links
• A criterion for satellite 1-genus 1-bridge knots
• The classification of exceptional Dehn surgeries on 2-bridge knots

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