Triple point numbers of surface-links and symmetric quandle cocycle invariants. (English) Zbl 1188.57017

Summary: For any positive integer \(n\), we give a 2-component surface-link \(F = F_1 \cup F_2\) such that \(F_1\) is orientable, \(F_2\) is non-orientable and the triple point number of \(F\) is equal to \(2n\). To give lower bounds of the triple point numbers, we use symmetric quandle cocycle invariants.


57Q45 Knots and links in high dimensions (PL-topology) (MSC2010)
18G99 Homological algebra in category theory, derived categories and functors
55N99 Homology and cohomology theories in algebraic topology
57Q35 Embeddings and immersions in PL-topology
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