A NOTE ON NON-CLASSICAL VIRTUAL KNOTS

DOI10.1142/S0218216504003548zbMath1094.57012MaRDI QIDQ4652704

Shin Satoh, Toshimasa Kishino

Publication date: 28 February 2005

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

zbMATH Keywords

crossing number

Mathematics Subject Classification ID

Related Items

A virtual knot whose virtual unknotting number equals one and a sequence of \(n\)-writhes, SOME NUMERICAL INVARIANTS OF FLAT VIRTUAL LINKS ARE ALWAYS REALIZED BY REDUCED DIAGRAMS, COVERINGS, COMPOSITES AND CABLES OF VIRTUAL STRINGS, A METHOD OF ENCODING GENERALIZED LINK DIAGRAMS, Doodles on surfaces, Generalizations of the Wada representations and virtual link groups, An unknotting index for virtual knots, A Categorical Structure for the Virtual Braid Group, The intersection polynomials of a virtual knot II: Connected sums, Virtual knots with properties of Kishino's knot, The intersection polynomials of a virtual knot I: Definitions and calculations, Inca Foams, Characterization of signed Gauss paragraphs and skew-symmetric graded matrices, On filamentations and virtual knots, QUATERNIONIC INVARIANTS OF VIRTUAL KNOTS AND LINKS, THE VIRTUAL CROSSING NUMBER OF 2-COMPONENT FLAT VIRTUAL LINKS WITH THE SUPPORTING GENUS ONE, BIQUANDLES FOR VIRTUAL KNOTS, Alexander and Markov theorems for virtual doodles, Link invariants via counting surfaces, A SEQUENCE OF DEGREE ONE VASSILIEV INVARIANTS FOR VIRTUAL KNOTS, A BRACKET POLYNOMIAL FOR GRAPHS, II: LINKS, EULER CIRCUITS AND MARKED GRAPHS, Symbolic computation with finite biquandles, RIBBON TORUS KNOTS PRESENTED BY VIRTUAL KNOTS WITH UP TO FOUR CROSSINGS, A CATEGORICAL MODEL FOR THE VIRTUAL BRAID GROUP, Compact and long virtual knots, VIRTUAL HOMOTOPY, CLASSIFICATION OF CLOSED VIRTUAL 2-BRAIDS, A MULTI-VARIABLE POLYNOMIAL INVARIANT FOR VIRTUAL KNOTS AND LINKS, Homological invariants of links in a thickened surface, VIRTUAL KNOT INVARIANTS FROM GROUP BIQUANDLES AND THEIR COCYCLES, NON-TRIVIAL REALIZATIONS OF VIRTUAL LINK DIAGRAMS, Minimal surface representations of virtual knots and links, MAGNETIC GRAPHS AND AN INVARIANT FOR VIRTUAL LINKS, Alexander invariants for virtual knots, Virtual knots and links, A LINKING NUMBER DEFINITION OF THE AFFINE INDEX POLYNOMIAL AND APPLICATIONS, Representation of virtual braid groups to rook algebras and virtual links invariants

Cites Work

• The Conway polynomial in \(R^ 3\) and in thickened surfaces: A new determinant formulation
• Finite-type invariants of classical and virtual knots
• Virtual knot theory