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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

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

Information

Received: 1 August 2015; Revised: 5 October 2015; Accepted: 20 October 2015; Published: 2016
First available in Project Euclid: 16 November 2017

zbMATH: 1356.57021
MathSciNet: MR3584260
Digital Object Identifier: 10.2140/agt.2016.16.3325

Subjects:
Primary: 57Q45
Secondary: 57Q35

Rights: Copyright © 2016 Mathematical Sciences Publishers

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Vol.16 • No. 6 • 2016
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