An Orientation-Sensitive Vassiliev Invariant for Virtual Knots

DOI10.1142/S0218216503002743zbMath1051.57013arXivmath/0203123OpenAlexW2063331693MaRDI QIDQ4474520

Jörg Sawollek

Publication date: 12 July 2004

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

Full work available at URL: https://arxiv.org/abs/math/0203123

zbMATH Keywords

Conway polynomial

Mathematics Subject Classification ID

Related Items

Three-partite vertex model and knot invariants ⋮ An index definition of parity mappings of a virtual link diagram and Vassiliev invariants of degree one ⋮ Virtual index cocycles and invariants of virtual links ⋮ Weyl algebras and knots ⋮ Virtual tribrackets ⋮ Parity in knot theory and graph-links ⋮ Link invariants via counting surfaces ⋮ Finite type invariants for knotoids ⋮ A SEQUENCE OF DEGREE ONE VASSILIEV INVARIANTS FOR VIRTUAL KNOTS ⋮ THE PARITY WRITHE POLYNOMIALS FOR VIRTUAL KNOTS AND FLAT VIRTUAL KNOTS ⋮ Quantum invariants of knotoids ⋮ RIBBON TORUS KNOTS PRESENTED BY VIRTUAL KNOTS WITH UP TO FOUR CROSSINGS ⋮ From chord parity to chord index ⋮ Some remarks on the chord index ⋮ ON VIRTUAL CROSSING NUMBER ESTIMATES FOR VIRTUAL LINKS ⋮ ON A GENERALIZATION OF THE ALEXANDER POLYNOMIAL FOR LONG VIRTUAL KNOTS ⋮ INVARIANTS OF FLAT VIRTUAL LINKS INDUCED FROM VASSILIEV INVARIANTS OF DEGREE ONE FOR VIRTUAL LINKS ⋮ The Chord Index, its Definitions, Applications, and Generalizations ⋮ Virtual knots and links

Cites Work

• The Conway polynomial in \(R^ 3\) and in thickened surfaces: A new determinant formulation
• Finite-type invariants of classical and virtual knots
• On the Vassiliev knot invariants
• Virtual knot theory
• QUANDLE KNOT INVARIANTS ARE QUANTUM KNOT INVARIANTS
• ABSTRACT LINK DIAGRAMS AND VIRTUAL KNOTS
• Quantum invariants of knots and 3-manifolds