A zero polynomial of virtual knots

DOI10.1142/S0218216515500789zbMath1337.57024OpenAlexW2180754720MaRDI QIDQ2788551

Myeong-Ju Jeong

Publication date: 19 February 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/s0218216515500789

zbMATH Keywords

linking numberVassiliev invariantvirtual knot

Mathematics Subject Classification ID

Related Items (15)

Three-partite vertex model and knot invariants ⋮ Unnamed Item ⋮ Intersection formulas for parities on virtual knots ⋮ A new invariant of planar knotoids and finite-type invariants ⋮ A two-variable polynomial invariant of virtual knots ⋮ Reidemeister moves and parity polynomials of virtual knot diagrams ⋮ A note on coverings of virtual knots ⋮ F-polynomials of tabulated virtual knots ⋮ Signature and concordance of virtual knots ⋮ Two-variable polynomial invariants of virtual knots arising from flat virtual knot invariants ⋮ Transcendental linking polynomials of virtual string links ⋮ A family of polynomial invariants for virtual knots ⋮ From chord parity to chord index ⋮ Some remarks on the chord index ⋮ A sequence of polynomial invariants for Gauss diagrams

Cites Work

• Unnamed Item
• Minimal generating sets of Reidemeister moves
• Fiedler type combinatorial formulas for generalized Fiedler type invariants of knots in \(M^2\times R^1\)
• What is a virtual link?
• The three loop isotopy and framed isotopy invariants of virtual knots
• A POLYNOMIAL INVARIANT OF VIRTUAL LINKS
• ON THE GOUSSAROV–POLYAK–VIRO FINITE-TYPE INVARIANTS AND THE VIRTUALIZATION MOVE
• A SEQUENCE OF DEGREE ONE VASSILIEV INVARIANTS FOR VIRTUAL KNOTS
• STABLE EQUIVALENCE OF KNOTS ON SURFACES AND VIRTUAL KNOT COBORDISMS
• AN AFFINE INDEX POLYNOMIAL INVARIANT OF VIRTUAL KNOTS
• Polynomials and Homotopy of Virtual Knot Diagrams

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