Wirtinger numbers for virtual links

DOI10.1142/S021821651950086XzbMath1436.57015arXiv1801.02923WikidataQ114072897 ScholiaQ114072897MaRDI QIDQ5221449

Puttipong Pongtanapaisan

Publication date: 25 March 2020

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

Full work available at URL: https://arxiv.org/abs/1801.02923

zbMATH Keywords

virtual linksWirtinger numbervirtual bridge number

Mathematics Subject Classification ID

Generalized knots (virtual knots, welded knots, quandles, etc.) (57K12)

Uses Software

• GitHub
• Calc_Wirt

Cites Work

• Two definitions of the bridge index of a welded knot
• What is a virtual link?
• Finite-type invariants of classical and virtual knots
• Virtual knot theory
• Wirtinger systems of generators of knot groups
• PARITY AND PROJECTION FROM VIRTUAL KNOTS TO CLASSICAL KNOTS
• BRIDGE PRESENTATIONS OF VIRTUAL KNOTS
• VIRTUAL BRIDGE NUMBER ONE KNOTS
• VIRTUAL KNOT PRESENTATION OF RIBBON TORUS-KNOTS
• STABLE EQUIVALENCE OF KNOTS ON SURFACES AND VIRTUAL KNOT COBORDISMS
• SOME COROLLARIES OF MANTUROV'S PROJECTION THEOREM
• Bridge numbers for virtual and welded knots
• On the crossing numbers of a virtual knot

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