KAUFFMAN-LIKE POLYNOMIAL AND CURVES IN 2-SURFACES

DOI10.1142/S0218216503002974zbMath1059.57006OpenAlexW2030237305MaRDI QIDQ4472804

Vassily O. Manturov

Publication date: 1 July 2004

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

Full work available at URL: https://doi.org/10.1142/s0218216503002974

zbMATH Keywords

Jones polynomialKauffman polynomialKauffman bracketcurves in 2-surfacesvirtual Knot

Mathematics Subject Classification ID

Related Items (14)

The homological arrow polynomial for virtual links ⋮ The Jones-Krushkal polynomial and minimal diagrams of surface links ⋮ Kauffman–Jones polynomial of a curve on a surface ⋮ PERMUTATION AND ITS PARTIAL TRANSPOSE ⋮ Parity in knot theory and graph-links ⋮ Knot invariants and the Bollobás-Riordan polynomial of embedded graphs ⋮ The Khovanov complex for virtual links ⋮ Compact and long virtual knots ⋮ VASSILIEV INVARIANTS FOR VIRTUAL LINKS, CURVES ON SURFACES AND THE JONES–KAUFFMAN POLYNOMIAL ⋮ VIRTUAL KNOT DIAGRAMS AND THE WITTEN–RESHETIKHIN–TURAEV INVARIANT ⋮ Lower Bounds on Virtual Crossing Number and Minimal Surface Genus ⋮ VIRTUAL CROSSING NUMBER AND THE ARROW POLYNOMIAL ⋮ MAGNETIC GRAPHS AND AN INVARIANT FOR VIRTUAL LINKS ⋮ Virtual knots and links

Cites Work

• 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
• ON HOMOLOGY OF VIRTUAL BRAIDS AND BURAU REPRESENTATION

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