Non-slice 3-stranded pretzel knots

DOI10.1142/S0218216522500183zbMath1500.57006arXiv2101.00865OpenAlexW4300663077MaRDI QIDQ5081307

Changhee Lee, Min Hoon Kim, Minkyoung Song

Publication date: 14 June 2022

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

Full work available at URL: https://arxiv.org/abs/2101.00865

zbMATH Keywords

irreducible polynomialsslice-ribbon conjecturepretzel knots

Mathematics Subject Classification ID

Cobordism and concordance in topological manifolds (57N70) Knot theory (57K10) Invariants of 3-manifolds (including skein modules, character varieties) (57K31) General topology of 4-manifolds (57K40)

Related Items (1)

Slice knots and knot concordance

Cites Work

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• On the slice-ribbon conjecture for pretzel knots
• Lens spaces, rational balls and the ribbon conjecture
• Pretzel links, mutation, and the slice-ribbon conjecture
• Sliceness of alternating pretzel knots and links
• Self-reciprocal and self-conjugate-reciprocal irreducible factors of \(x^n - \lambda\) and their applications
• The topological sliceness of 3-strand pretzel knots
• Slice implies mutant ribbon for odd 5-stranded pretzel knots
• Singularities of 2-spheres in 4-space and cobordism of knots
• The slice-ribbon conjecture for 3-stranded pretzel knots

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