Virtual knots with properties of Kishino's knot

DOI10.3836/tjm/1502179365MaRDI QIDQ6116778

Migiwa Sakurai, Yoshiyuki Ohyama

Publication date: 18 July 2023

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

Full work available at URL: https://projecteuclid.org/journals/tokyo-journal-of-mathematics/volume-46/issue-1/Virtual-Knots-with-Properties-of-Kishinos-Knot/10.3836/tjm/1502179365.full

zbMATH Keywords

virtualizationvirtual knot\(n\)-writheGauss diagram

Mathematics Subject Classification ID

Knot theory (57K10) Generalized knots (virtual knots, welded knots, quandles, etc.) (57K12)

Cites Work

• A virtual knot whose virtual unknotting number equals one and a sequence of \(n\)-writhes
• An index of an enhanced state of a virtual link diagram and Miyazawa polynomials
• Virtual knot theory
• An affine index polynomial invariant and the forbidden move of virtual knots
• THE POLE DIAGRAM AND THE MIYAZAWA POLYNOMIAL
• A SEQUENCE OF DEGREE ONE VASSILIEV INVARIANTS FOR VIRTUAL KNOTS
• A MULTI-VARIABLE POLYNOMIAL INVARIANT FOR VIRTUAL KNOTS AND LINKS
• VIRTUAL CROSSING NUMBER AND THE ARROW POLYNOMIAL
• A NOTE ON NON-CLASSICAL VIRTUAL KNOTS
• AN AFFINE INDEX POLYNOMIAL INVARIANT OF VIRTUAL KNOTS
• Virtualization and n-writhes for virtual knots
• A polynomial invariant of virtual knots
• The writhes of a virtual knot

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