Purely cosmetic surgeries and pretzel knots

DOI10.2140/pjm.2021.313.195zbMath1482.57005arXiv2006.06765OpenAlexW3199132501MaRDI QIDQ2234348

Zoltán Szabó, András I. Stipsicz

Publication date: 19 October 2021

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.06765

zbMATH Keywords

thicknesspretzel knotscosmetic surgery

Mathematics Subject Classification ID

General geometric structures on low-dimensional manifolds (57M50) Knot theory (57K10) General topology of 3-manifolds (57K30)

Related Items (1)

On constraints for knots to admit chirally cosmetic surgeries and their calculations

Cites Work

• Cosmetic surgeries on knots in \(S^3\)
• Cosmetic surgeries on genus one knots
• Surgery formulae for finite type invariants of rational homology 3-spheres
• A spanning tree expansion of the Jones polynomial
• Heegaard Floer homology and alternating knots
• Holomorphic disks and genus bounds
• 3-braid knots do not admit purely cosmetic surgeries
• On LMO invariant constraints for cosmetic surgery and other surgery problems for knots in \(S^3\)
• A note on Jones polynomial and cosmetic surgery
• Some invariants of Pretzel links
• Genera of the arborescent links

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