An affine index polynomial invariant and the forbidden move of virtual knots

DOI10.1142/S0218216516500401zbMath1357.57021OpenAlexW2343444698MaRDI QIDQ3178571

Migiwa Sakurai

Publication date: 14 July 2016

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

Full work available at URL: https://doi.org/10.1142/s0218216516500401

zbMATH Keywords

virtual knotforbidden moveaffine index polynomial invariant

Mathematics Subject Classification ID

Related Items (8)

A virtual knot whose virtual unknotting number equals one and a sequence of \(n\)-writhes ⋮ Arc shift number and region arc shift number for virtual knots ⋮ Forbidden detour number on virtual knot ⋮ Linking invariants of even virtual links ⋮ Virtual knots with properties of Kishino's knot ⋮ Unnamed Item ⋮ Virtualization and n-writhes for virtual knots ⋮ The multi-variable affine index polynomial

Cites Work

• Introduction to Vassiliev Knot Invariants
• The Forbidden Number of a Knot
• A SEQUENCE OF DEGREE ONE VASSILIEV INVARIANTS FOR VIRTUAL KNOTS
• FORBIDDEN MOVES UNKNOT A VIRTUAL KNOT
• UNKNOTTING VIRTUAL KNOTS WITH GAUSS DIAGRAM FORBIDDEN MOVES
• AN AFFINE INDEX POLYNOMIAL INVARIANT OF VIRTUAL KNOTS
• The writhes of a virtual knot

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