The length of a $3$–cocycle of the $5$–dihedral quandle

Shin Satoh

doi:10.2140/agt.2016.16.3325

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Home > Journals > Algebr. Geom. Topol. > Volume 16 > Issue 6 > Article

2016 The length of a $3$–cocycle of the $5$–dihedral quandle

Shin Satoh

Algebr. Geom. Topol. 16(6): 3325-3359 (2016). DOI: 10.2140/agt.2016.16.3325

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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 $(2, 5)$ –torus knot have the triple point number eight.

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Shin Satoh. "The length of a $3$–cocycle of the $5$–dihedral quandle." Algebr. Geom. Topol. 16 (6) 3325 - 3359, 2016. https://doi.org/10.2140/agt.2016.16.3325