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.

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DOI: http://dx.doi.org/10.5539/jmr.v4n6p97

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

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