The skein index for link invariants
type: Item
instance of: scholarly article
title: The skein index for link invariants
zbMATH Open document ID: 1148.57019
author: Atsushi Ishii
published in: Journal of the Mathematical Society of Japan
publication date: 2008-09-18T00:00:00Z
review text: The author introduces the skein index of a link invariant \(f\) as the mininmum \(n\) such that for any \(n+1\) tangles \(T_1, \dots, T_{n+1}\) there exist nontrivial coefficients \((a_1,\dots, a_{n+1}) \neq (0,\dots,0)\) and \(a_1f(T_1)+\cdots +a_{n+1}f(T_{n+1})=0\). It is used to compare link invariants and to find a skein relation. The author gives the complete list for the link invariants of skein index less than or equal to two, constructs a new skein relation and gives a formula for the invariant of a closed 2-braid.
Mathematics Subject Classification ID: 57M27
Mathematics Subject Classification ID: 57M25
zbMATH DE Number: 5345237
zbMATH Keywords: skein index
zbMATH Keywords: skein relation
zbMATH Keywords: link invariant
zbMATH Keywords: HOMFLY
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2969/jmsj/06030719
OpenAlex ID: W2087129643
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DOI: 10.2969/JMSJ/06030719
description: scientific article; zbMATH DE number 5345237