The length of a 3-cocycle of the 5-dihedral quandle
type: Item
instance of: scholarly article
title: The length of a 3-cocycle of the 5-dihedral quandle
zbMATH Open document ID: 1356.57021
author: Shin Satoh
published in: Algebraic \& Geometric Topology
publication date: 2016-12-20T00:00:00Z
review text: The main result of the paper states that the length of the Mochizuki 3-cocycle of the 5-dihedral quandle is eight. Consequently, the 2-twist-spun figure-eight knot and the 2-twist-spun (2,5)-torus knot have the triple point number eight. The result is achieved through detailed investigation of all 3-cocycles of length at most seven.
reviewed by: David Stanovský
Mathematics Subject Classification ID: 57Q45
Mathematics Subject Classification ID: 18G99
zbMATH DE Number: 6666102
zbMATH Keywords: surface-knot
zbMATH Keywords: triple point number
zbMATH Keywords: dihedral quandle
zbMATH Keywords: cocycle invariant
MaRDI profile type: Publication
full work available at URL: agt.2016.16.3325
OpenAlex ID: W2564702120
DOI: 10.2140/AGT.2016.16.3325
description: scientific article; zbMATH DE number 6666102