The Jones polynomial of pretzel knots and links
type: Item
instance of: scholarly article
title: The Jones polynomial of pretzel knots and links
zbMATH Open document ID: 0927.57006
DOI: 10.1016/S0166-8641(97)00100-4
author: Ryan A. Landvoy
published in: Topology and its Applications
publication date: 1999-12-14T00:00:00Z
review text: The author proves a recursive formula for the Jones polynomial for \(n\)-pretzel knots -- recursive in \(n\) -- using Kauffman's skein relation. A special case of Jones' formula for torus knots \((2,s)\) is derived, and as an application the amphicheirality of certain classical pretzel knots is determined; they are, by the way 2-bridge knots [\textit{C. Bankwitz} and \textit{H. G. Schumann}, Abh. Math. Semin. Hamb. Univ. 10, 263-284 (1934; Zbl 0009.23003)].
Mathematics Subject Classification ID: 57M25
zbMATH DE Number: 1308041
zbMATH Keywords: amphicheirality
reviewed by: Gerhard Burde
MaRDI profile type: Publication
cites work: Q4844975
cites work: A polynomial invariant for knots via von Neumann algebras
cites work: Hecke algebra representations of braid groups and link polynomials
cites work: State models and the Jones polynomial
cites work: Q3989600
cites work: Non-invertible knots exist
Wikidata QID: Q127782978
description: scientific article; zbMATH DE number 1308041