On Heegaard splittings of knot exteriors with tunnel number degenerations

DOI10.1016/j.topol.2015.05.042zbMath1342.57009arXiv1310.7314OpenAlexW1509314545MaRDI QIDQ898509

Kanji Morimoto

Publication date: 18 December 2015

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

Full work available at URL: https://arxiv.org/abs/1310.7314

zbMATH Keywords

tunnel numberHeegaard splittingstrongly irreducible Heeggard splittingunknotting tunnel system

Mathematics Subject Classification ID

Related Items (2)

Generalized Heegaard splittings and the disk complex ⋮ The tunnel number and the cutting number with constituent handlebody-knots

Cites Work

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• Knoten mit zwei Brücken
• On unknotting tunnels for knots
• Reducing Heegaard splittings
• Connected sums of knots and weakly reducible Heegaard splittings
• Characterization of tunnel number two knots which have the property ``\(2+1= 2\)
• Über eine numerische Knoteninvariante
• ESSENTIAL TORI IN 3-STRING FREE TANGLE DECOMPOSITIONS OF KNOTS
• On Genus 2 Heegaard Diagrams for the 3-Sphere
• There are Knots whose Tunnel Numbers go down under Connected Sum

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