ON SURFACE-LINKS REPRESENTED BY DIAGRAMS WITH TWO OR THREE TRIPLE POINTS

DOI10.1142/S0218216505004184zbMath1088.57019MaRDI QIDQ3373058

Kokoro Tanaka

Publication date: 13 March 2006

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

zbMATH Keywords

quandle cocycle invariantquandle homologygeneralized fundamental classes

Mathematics Subject Classification ID

Related Items (5)

Shifting chain maps in quandle homology and cocycle invariants ⋮ Surface-knots ⋮ Inequivalent surface-knots with the same knot quandle ⋮ Triple point cancelling numbers of surface links and quandle cocycle invariants ⋮ SURFACE DIAGRAMS WITH AT MOST TWO TRIPLE POINTS

Cites Work

• A classifying invariant of knots, the knot quandle
• From racks to pointed Hopf algebras
• Enveloping monoidal quandles
• An estimate of the triple point numbers of surface-knots by quandle cocycle invariants
• Trunks and classifying spaces
• RACKS AND LINKS IN CODIMENSION TWO
• ON PSEUDO-RIBBON SURFACE-LINKS
• Quandle cohomology and state-sum invariants of knotted curves and surfaces
• The 2-twist-spun trefoil has the triple point number four
• On non-orientable surfaces in 4-space which are projected with at most one triple point
• James bundles
• Minimal triple point numbers of some non-orientable surface-links.
• Twisted quandle homology theory and cocycle knot invariants

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