#### Volume 16, issue 6 (2016)

 Recent Issues
 The Journal About the Journal Subscriptions Editorial Board Editorial Interests Editorial Procedure Submission Guidelines Submission Page Author Index To Appear ISSN (electronic): 1472-2739 ISSN (print): 1472-2747
The length of a $3$–cocycle of the $5$–dihedral quandle

### Shin Satoh

Algebraic & Geometric Topology 16 (2016) 3325–3359
##### Abstract

We determine the length of the Mochizuki $3$–cocycle of the $5$–dihedral quandle. This induces that the $2$–twist-spun figure-eight knot and the $2$–twist-spun $\left(2,5\right)$–torus knot have the triple point number eight.

 Dedicated to Professor Taizo Kanenobu on the occasion of his 60th birthday
##### Keywords
surface-knot, triple point number, quandle, cocycle invariant, coloring
Primary: 57Q45
Secondary: 57Q35