Abstract
The notion of cut points on a virtual link diagram was introduced by H. A. Dye and it was extended by the author to the notion of oriented cut points. Using oriented cut points, one can often apply some arguments working only on almost classical virtual link diagrams to any virtual link diagram. In this paper we construct a multivariable polynomial XD for a virtual link diagram using oriented cut points. It turns out that this polynomial is the same with the multivariable polynomial invariant of virtual links introduced by H. A. Dye and L. H. Kauffman and by Y. Miyazawa independently. Using this fact, we give some properties of the multivariable polynomial invariant and some applications.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
