A polynomial invariant of oriented links
type: Item
instance of: scholarly article
title: A polynomial invariant of oriented links
zbMATH Open document ID: 0608.57009
DOI: 10.1016/0040-9383(87)90025-5
author: Kenneth C. Millett
author: W. B. Raymond Lickorish
published in: Topology
publication date: 1987-01-01T00:00:00Z
review text: The authors introduce a polynomial in 2 variables which specializes to the Alexander polynomial and the Jones polynomial. The authors show that their polynomial is well defined on link types, although it is calculated from a presentation. They derive a number of fascinating properties of the polynomial, some of these show its strength, some its weakness. They pose 10 questions regarding the polynomial and include tables of the polynomial for knots and links. The polynomial has also been defined independently by \textit{P. Freyd} et al. [Bull. Am. Math. Soc., New Ser. 12, 239-246 (1985; Zbl 0572.57002)].
Mathematics Subject Classification ID: 57M25
zbMATH DE Number: 3984120
zbMATH Keywords: link polynomial
zbMATH Keywords: Alexander polynomial
zbMATH Keywords: Jones polynomial
reviewed by: Lee P. Neuwirth
MaRDI profile type: Publication
full work available at URL: 0040-9383(87)90025-5
OpenAlex ID: W2007937225
description: scientific article; zbMATH DE number 3984120