On the Coefficients of Jones Polynomial and Vassiliev Invariants

Khaled Bataineh


We use Pascal matrices to show that every coefficient of Jones polynomial of a knot is the pointwise limit of a sequence of Vassiliev invariants. We also find an explicit finite sum formula expressing the coefficients of Jones polynomials bounded by a given degree as integral linear combinations of Vassiliev invariants.

Full Text: PDF DOI: 10.5539/jmr.v4n6p97

Creative Commons License
This work is licensed under a Creative Commons Attribution 3.0 License.

Journal of Mathematics Research   ISSN 1916-9795 (Print)   ISSN 1916-9809 (Online)

Copyright © Canadian Center of Science and Education

To make sure that you can receive messages from us, please add the 'ccsenet.org' domain to your e-mail 'safe list'. If you do not receive e-mail in your 'inbox', check your 'bulk mail' or 'junk mail' folders.


doaj_logo_new_120 proquest_logo_120images_120.