The almost alternating diagrams of the trivial knot

DOI10.1112/jtopol/jtp001zbMath1176.57015arXivmath/0605018OpenAlexW2047489685MaRDI QIDQ3624316

Tatsuya Tsukamoto

Publication date: 29 April 2009

Published in: Journal of Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0605018

zbMATH Keywords

alternating knottrivial knotalmost alternating diagram

Mathematics Subject Classification ID

Related Items (6)

Alternating knots with unknotting number one ⋮ Link diagrams with low Turaev genus ⋮ On slice alternating 3-braid closures ⋮ Donaldson's theorem, Heegaard Floer homology, and knots with unknotting number one ⋮ UNKNOTTING NUMBERS OF DIAGRAMS OF A GIVEN NONTRIVIAL KNOT ARE UNBOUNDED ⋮ Hyperbolic L-space knots and exceptional Dehn surgeries

Cites Work

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• Two-Bridge Links with Unlinking Number One
• Studying Links Via Closed Braids. V: The Unlink
• Gauß diagram sums on almost positive knots
• Homogeneous Links
• A criterion for almost alternating links to be non-splittable
• A geometric proof that alternating knots are non-trivial

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