A polynomial invariant of long virtual knots
type: Item
instance of: scholarly article
title: A polynomial invariant of long virtual knots
zbMATH Open document ID: 1178.57008
author: Young Ho Im
author: Kyeonghui Lee
published in: European Journal of Combinatorics
publication date: 2009-06-17T00:00:00Z
review text: In this paper a polynomial invariant of long virtual knots is defined, related to the degree one Vassiliev invariant of virtual knots defined by \textit{A. Henrich} in [J. Knot Theory Ramifications 19, No. 4, 461--487 (2010; Zbl 1178.57008)]. This polynomial invariant vanishes for classical long knots and contains information about chirality and virtual crossing number. Moreover, the invariant is additive under the semigroup addition in the long virtual knot category.
reviewed by: Sam Nelson
Mathematics Subject Classification ID: 57M27
Mathematics Subject Classification ID: 57M25
zbMATH DE Number: 5565575
zbMATH Keywords: virtual knots
zbMATH Keywords: long virtual knots
zbMATH Keywords: virtual knot invariants
MaRDI profile type: Publication
full work available at URL: j.ejc.2008.11.011
OpenAlex ID: W2050898985
cites work: Virtual knot theory
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cites work: ABSTRACT LINK DIAGRAMS AND VIRTUAL KNOTS
cites work: A virtualized skein relation for Jones polynomials
DOI: 10.1016/J.EJC.2008.11.011
description: scientific article; zbMATH DE number 5565575