On the Coefficients of Jones Polynomial and Vassiliev Invariants


  •  Khaled Bataineh    

Abstract

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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