THE PARITY WRITHE POLYNOMIALS FOR VIRTUAL KNOTS AND FLAT VIRTUAL KNOTS

DOI10.1142/S0218216512501337zbMath1260.57013OpenAlexW2168840339MaRDI QIDQ4908219

Sera Kim, Dong-Soo Lee, Young Ho Im

Publication date: 5 March 2013

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

Full work available at URL: https://doi.org/10.1142/s0218216512501337

zbMATH Keywords

invertibilityVassiliev invariantvirtual knotamphicheiralitywarping polynomialflat virtual knotodd writhe polynomial

Mathematics Subject Classification ID

Related Items (11)

The rank of a warping matrix ⋮ Parity functors ⋮ An unknotting index for virtual knots ⋮ Reidemeister moves and parity polynomials of virtual knot diagrams ⋮ Polynomial invariants via odd parities for virtual link diagrams ⋮ From chord parity to chord index ⋮ Some remarks on the chord index ⋮ The Chord Index, its Definitions, Applications, and Generalizations ⋮ Chord index for knots in thickened surfaces ⋮ A POLYNOMIAL INVARIANT OF VIRTUAL LINKS ⋮ A sequence of polynomial invariants for Gauss diagrams

Cites Work

• Finite-type invariants of classical and virtual knots
• Virtual knot theory
• INVARIANTS OF FLAT VIRTUAL LINKS INDUCED FROM VASSILIEV INVARIANTS OF DEGREE ONE FOR VIRTUAL LINKS
• A SEQUENCE OF DEGREE ONE VASSILIEV INVARIANTS FOR VIRTUAL KNOTS
• INDEX POLYNOMIAL INVARIANT OF VIRTUAL LINKS
• THE WARPING DEGREE OF A KNOT DIAGRAM
• CLASSIFICATION OF CLOSED VIRTUAL 2-BRAIDS
• An Orientation-Sensitive Vassiliev Invariant for Virtual Knots
• ALEXANDER GROUPS AND VIRTUAL LINKS

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