IDEAL COSET INVARIANTS FOR SURFACE-LINKS IN ℝ4

DOI10.1142/S0218216513500521zbMath1281.57015OpenAlexW1983550564MaRDI QIDQ2850721

Jieon Kim, Sang Youl Lee, Yewon Joung

Publication date: 30 September 2013

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

Full work available at URL: https://doi.org/10.1142/s0218216513500521

zbMATH Keywords

Gröbner basissurface-linkKauffman bracket polynomialknotted surfacemarked graph diagramstate-sum modelch-diagraminvariant of surface-linkYoshikawa move

Mathematics Subject Classification ID

Related Items (10)

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 the Alexander biquandles of oriented surface-links via marked graph diagrams ⋮ Polynomial of an oriented surface-link diagram via quantum \(A_2\) invariant ⋮ Bikei module invariants of unoriented surface-links ⋮ Polynomial invariants for virtual marked graphs and virtual surface-link theory I ⋮ Independence of the Yoshikawa eighth move and a minimal generating set of band moves ⋮ Bikei invariants and gauss diagrams for virtual knotted surfaces ⋮ Minimal generating set of planar moves for surfaces embedded in the four-space ⋮ On generating sets of Yoshikawa moves for marked graph diagrams of surface-links

Cites Work

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• All 2-dimensional links in 4-space live inside a universal 3-dimensional polyhedron
• The homotopy groups of knots. I: How to compute the algebraic 2-type
• Surface-links with square-type ch-graphs
• INVARIANTS OF SURFACE LINKS IN ℝ⁴ VIA SKEIN RELATION
• Towards invariants of surfaces in $4$-space via classical link invariants
• ON A CALCULUS FOR 2-KNOTS AND SURFACES IN 4-SPACE
• Ideal Turaev-Viro invariants

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