Geodesic
The length of a 3–cocycle of the 5–dihedral quandle
Satoh, Shin1
1Department of Mathematics, Kobe University, Rokkodai-cho 1-1, Nada-ku, Kobe 657 8501, Japan
Algebraic and Geometric Topology, Tome 16 (2016) no. 6, pp. 3325-3359
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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 (2,5)–torus knot have the triple point number eight.

DOI : 10.2140/agt.2016.16.3325
Classification : 57Q45, 57Q35
Keywords: surface-knot, triple point number, quandle, cocycle invariant, coloring

Satoh, Shin  1

1 Department of Mathematics, Kobe University, Rokkodai-cho 1-1, Nada-ku, Kobe 657 8501, Japan 
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Satoh, Shin. The length of a 3–cocycle of the 5–dihedral quandle. Algebraic and Geometric Topology, Tome 16 (2016) no. 6, pp. 3325-3359. doi: 10.2140/agt.2016.16.3325

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