Iterated splitting and the classification of knot tunnels

DOI10.2969/jmsj/06520671zbMath1270.57019arXiv1108.3671OpenAlexW2050494328MaRDI QIDQ2376002

Darryl McCullough, Sangbum Cho

Publication date: 26 June 2013

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1108.3671

zbMATH Keywords

knotsplittingregulartunneltorus knot(1, 1)2-Bridge

Mathematics Subject Classification ID

Related Items (1)

Middle tunnels by splitting

Uses Software

• Heegaard

Cites Work

• Semisimple tunnels
• An algorithm for finding parameters of tunnels
• On unknotting tunnels for knots
• The tree of knot tunnels
• Cabling sequences of tunnels of torus knots
• Heegaard splittings of Seifert fibered spaces
• On Heegaard decompositions of torus knot exteriors and related Seifert fibre spaces
• Middle tunnels by splitting
• Alternate Heegaard genus bounds distance
• Tunnel leveling, depth, and bridge numbers
• UNKNOTTING TUNNELS FOR P(-2,3,7)
• Constructing knot tunnels using giant steps
• Examples of tunnel number one knots which have the property ‘1 + 1 = 3’
• Genus two Heegaard splittings of exteriors of 1-genus 1-bridge knots II

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