2-Component links with genus two Heegaard splittings

DOI10.1142/S0218216519500548zbMath1427.57002OpenAlexW2939413398MaRDI QIDQ5233578

Kanji Morimoto

Publication date: 11 September 2019

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

Full work available at URL: https://doi.org/10.1142/s0218216519500548

zbMATH Keywords

connected sumcompositeessential toriessential tangle decompositionsgenus two Heegaard splittingstunnel number one links

Mathematics Subject Classification ID

Knot theory (57K10) General topology of 3-manifolds (57K30)

Cites Work

• On unknotting tunnels for knots
• Structures of the Haken manifolds with Heegaard splittings of genus two
• On composite tunnel number one links
• Elementary surgery along a torus knot
• Knots are Determined by Their Complements
• TANGLE DECOMPOSITIONS OF TUNNEL NUMBER ONE KNOTS AND LINKS
• Non-simple links with tunnel number one
• Dehn surgery on knots
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