ON TANGLE DECOMPOSITIONS OF TWISTED TORUS KNOTS

DOI10.1142/S0218216513500491zbMath1278.57014arXiv1110.5399MaRDI QIDQ2850718

Kanji Morimoto

Publication date: 30 September 2013

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

Full work available at URL: https://arxiv.org/abs/1110.5399

zbMATH Keywords

twisted torus knotstangle decompositions

Mathematics Subject Classification ID

Related Items (6)

Double branched covers of tunnel number one knots ⋮ Knot types of twisted torus knots ⋮ Additional cases of positive twisted torus knots ⋮ Hyperbolic twisted torus links ⋮ Unexpected essential surfaces among exteriors of twisted torus knots ⋮ Positively twisted torus knots which are torus knots

Cites Work

• On Heegaard decompositions of torus knot exteriors and related Seifert fibre spaces
• On composite twisted torus knots
• TWISTED TORUS KNOTS T(p, q; 3, s) ARE TUNNEL NUMBER ONE
• TWISTED TORUS KNOTS T(p, q;kq, s) ARE CABLE KNOTS
• THE SIMPLEST HYPERBOLIC KNOTS
• Examples of tunnel number one knots which have the property ‘1 + 1 = 3’

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