#### Volume 10, issue 2 (2010)

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

### Kanako Oshiro

Algebraic & Geometric Topology 10 (2010) 853–865
##### Abstract

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.

##### Keywords
non-orientable surfaces, surface-links, symmetric quandles, triple point numbers
##### Mathematical Subject Classification 2000
Primary: 57Q45
Secondary: 18G99, 55N99, 57Q35