Crossing changes, delta moves and sharp moves on welded knots

DOI10.1216/RMJ-2018-48-3-967zbMath1397.57018arXiv1510.02554WikidataQ129476829 ScholiaQ129476829MaRDI QIDQ1657788

Shin Satoh

Publication date: 14 August 2018

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.02554

zbMATH Keywords

virtual knotdelta movesharp movepass movewelded knotcrossing changesunknoting operation

Mathematics Subject Classification ID

Related Items (8)

Extensions of some classical local moves on knot diagrams ⋮ Derivatives of Jones polynomials detect delta moves in virtual knots ⋮ The pass move is an unknotting operation for welded knots ⋮ The H(n)-move is an unknotting operation for virtual and welded links ⋮ On the unknotting number of a welded knot ⋮ A geometric invariant of virtual \(n\)-links ⋮ Generalized virtualization on welded links ⋮ An unknotting invariant for welded knots

Cites Work

• Delta-unknotting operation and the second coefficient of the Conway polynomial
• Some metrics on classical knots
• Weyl algebras and knots
• On a certain move generating link-homology
• Replacements in the Conway third identity
• Finite-type invariants of classical and virtual knots
• Clasp-pass moves on knots, links and spatial graphs
• Virtual knot theory
• The braid-permutation group
• NOTES ON SHARP MOVES FOR KNOTS
• On Knots. (AM-115)
• ASCENDING NUMBER OF KNOTS AND LINKS
• SOME NUMERICAL INVARIANTS OF FLAT VIRTUAL LINKS ARE ALWAYS REALIZED BY REDUCED DIAGRAMS
• The writhes of a virtual knot
• Die quadratische Form eines Knotens und ein Satz über Knotenmannigfaltigkeiten.
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