Towards invariants of surfaces in $4$-space via classical link invariants

DOI10.1090/S0002-9947-08-04568-6zbMath1160.57021OpenAlexW2017465401MaRDI QIDQ3600638

Sang Youl Lee

Publication date: 5 February 2009

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-08-04568-6

zbMATH Keywords

Kauffman bracket polynomialsurface linkknotted surfaceYoshikawa movesch-diagramknot with bands

Mathematics Subject Classification ID

Related Items (8)

Applying Lipson's state models to marked graph diagrams of surface-links ⋮ Computations of quandle cocycle invariants of surface-links using marked graph diagrams ⋮ On invariants for surface-links in entropic magmas via marked graph diagrams ⋮ On the Alexander biquandles of oriented surface-links via marked graph diagrams ⋮ Polynomial of an oriented surface-link diagram via quantum \(A_2\) invariant ⋮ Polynomial invariants for virtual marked graphs and virtual surface-link theory I ⋮ IDEAL COSET INVARIANTS FOR SURFACE-LINKS IN ℝ⁴ ⋮ On generating sets of Yoshikawa moves for marked graph diagrams of surface-links

Cites Work

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• Non-orientable surfaces in 4-space
• Braided surfaces and Seifert ribbons for closed braids
• State models and the Jones polynomial
• The homotopy groups of knots. I: How to compute the algebraic 2-type
• A characterization of groups of closed orientable surfaces in 4-space
• A combinatorial description of knotted surfaces and their isotopies
• Surface-links with square-type ch-graphs
• An enumeration of surfaces in four-space
• Singularities of 2-spheres in 4-space and cobordism of knots
• MAGNETIC GRAPHS AND AN INVARIANT FOR VIRTUAL LINKS
• INVARIANTS OF SURFACE LINKS IN ℝ⁴ VIA SKEIN RELATION
• A MULTI-VARIABLE POLYNOMIAL INVARIANT FOR VIRTUAL KNOTS AND LINKS
• SURFACES IN R⁴ OF BRAID INDEX THREE ARE RIBBON
• Quandle cohomology and state-sum invariants of knotted curves and surfaces
• ON A CALCULUS FOR 2-KNOTS AND SURFACES IN 4-SPACE

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