A sequence of polynomial invariants for Gauss diagrams

DOI10.1142/S0218216517500390zbMath1372.57014OpenAlexW2600961578MaRDI QIDQ5272463

Sera Kim, Young Ho Im

Publication date: 29 June 2017

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

Full work available at URL: https://doi.org/10.1142/s0218216517500390

zbMATH Keywords

Gauss diagramzero polynomialindex polynomialvirtual knot diagram\(n\)th polynomial

Mathematics Subject Classification ID

Related Items (10)

Unnamed Item ⋮ Redefining disoriented knots and diagrammatic methods ⋮ A note on coverings of virtual knots ⋮ Embeddings from the set of long flat virtual knots to the set of long virtual knots and applications ⋮ Signature and concordance of virtual knots ⋮ A family of polynomial invariants for knotoids ⋮ From chord parity to chord index ⋮ Some remarks on the chord index ⋮ POLYNOMIAL INVARIANTS FOR VIRTUAL KNOTS VIA VIRTUALIZATION MOVES ⋮ The Chord Index, its Definitions, Applications, and Generalizations

Cites Work

• Minimal generating sets of Reidemeister moves
• Finite-type invariants of classical and virtual knots
• Virtual knot theory
• A zero polynomial of virtual knots
• A POLYNOMIAL INVARIANT OF VIRTUAL LINKS
• A SEQUENCE OF DEGREE ONE VASSILIEV INVARIANTS FOR VIRTUAL KNOTS
• INDEX POLYNOMIAL INVARIANT OF VIRTUAL LINKS
• THE PARITY WRITHE POLYNOMIALS FOR VIRTUAL KNOTS AND FLAT VIRTUAL KNOTS
• VASSILIEV INVARIANTS FROM PARITY MAPPINGS
• The writhes of a virtual knot

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