Triple point numbers of surface-links and symmetric quandle cocycle invariants

DOI10.2140/agt.2010.10.853zbMath1188.57017OpenAlexW2095600241MaRDI QIDQ969669

Kanako Oshiro

Publication date: 7 May 2010

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/agt.2010.10.853

zbMATH Keywords

non-orientable surfacessurface-linkssymmetric quandlestriple point numbers

Mathematics Subject Classification ID

Related Items (7)

No surface-knot of genus one has triple point number two ⋮ Surface-link families with arbitrarily large triple point number ⋮ SYMMETRIC QUANDLE COLORINGS FOR SPATIAL GRAPHS AND HANDLEBODY-LINKS ⋮ On the triple point number of surface-links in Yoshikawa’s table ⋮ Surface links with free abelian groups ⋮ Triple linking numbers and triple point numbers of certain \(T^2\)-links ⋮ Symmetric extensions of dihedral quandles and triple points of non-orientable surfaces

Cites Work

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• A classifying invariant of knots, the knot quandle
• An estimate of the triple point numbers of surface-knots by quandle cocycle invariants
• Wirtinger presentations for higher dimensional manifold knots obtained from diagrams
• Homology groups of symmetric quandles and cocycle invariants of links and surface-links
• DISTRIBUTIVE GROUPOIDS IN KNOT THEORY
• 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
• Non-additivity for triple point numbers on the connected sum of surface-knots
• Minimal triple point numbers of some non-orientable surface-links.

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