VASSILIEV INVARIANTS FOR VIRTUAL LINKS, CURVES ON SURFACES AND THE JONES–KAUFFMAN POLYNOMIAL

DOI10.1142/S0218216505003804zbMath1071.57011OpenAlexW2060738165MaRDI QIDQ4670209

Vassily O. Manturov

Publication date: 18 April 2005

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

Full work available at URL: https://doi.org/10.1142/s0218216505003804

zbMATH Keywords

virtual knotsJones polynomial

Mathematics Subject Classification ID

Related Items (8)

Parity in knot theory and graph-links ⋮ TWIST LATTICES AND THE JONES–KAUFFMAN POLYNOMIAL FOR LONG VIRTUAL KNOTS ⋮ PARITY AND EXOTIC COMBINATORIAL FORMULAE FOR FINITE-TYPE INVARIANTS OF VIRTUAL KNOTS ⋮ The three loop isotopy and framed isotopy invariants of virtual knots ⋮ Compact and long virtual knots ⋮ RECOGNIZING TEXTILE STRUCTURES BY FINITE TYPE KNOT INVARIANTS ⋮ VIRTUAL CROSSING NUMBER AND THE ARROW POLYNOMIAL ⋮ Virtual knots and links

Cites Work

• State models and the Jones polynomial
• Algorithms for Jordan curves on compact surfaces
• The Conway polynomial in \(R^ 3\) and in thickened surfaces: A new determinant formulation
• Finite-type invariants of classical and virtual knots
• On invariants of virtual links
• Knot polynomials and Vassiliev's invariants
• KAUFFMAN-LIKE POLYNOMIAL AND CURVES IN 2-SURFACES
• ALEXANDER GROUPS AND VIRTUAL LINKS
• ON HOMOLOGY OF VIRTUAL BRAIDS AND BURAU REPRESENTATION
• VIRTUAL KNOT GROUPS AND THEIR PERIPHERAL STRUCTURE
• STABLE EQUIVALENCE OF KNOTS ON SURFACES AND VIRTUAL KNOT COBORDISMS

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