## Algebraic & Geometric Topology

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

Kanako Oshiro

#### Abstract

For any positive integer $n$, we give a 2–component surface-link $F=F1∪F2$ such that $F1$ is orientable, $F2$ 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.

#### Article information

Source
Algebr. Geom. Topol., Volume 10, Number 2 (2010), 853-865.

Dates
Revised: 21 November 2009
Accepted: 3 January 2010
First available in Project Euclid: 19 December 2017

https://projecteuclid.org/euclid.agt/1513715117

Digital Object Identifier
doi:10.2140/agt.2010.10.853

Mathematical Reviews number (MathSciNet)
MR2629767

Zentralblatt MATH identifier
1188.57017

#### Citation

Oshiro, Kanako. Triple point numbers of surface-links and symmetric quandle cocycle invariants. Algebr. Geom. Topol. 10 (2010), no. 2, 853--865. doi:10.2140/agt.2010.10.853. https://projecteuclid.org/euclid.agt/1513715117

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