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A RECURRENCE RELATION FOR THE JONES POLYNOMIAL
Berceanu, Barbu,Nizami, Abdul Rauf Korean Mathematical Society 2014 대한수학회지 Vol.51 No.3
Using a simple recurrence relation, we give a new method to compute the Jones polynomials of closed braids: we find a general expansion formula and a rational generating function for the Jones polynomials. The method is used to estimate the degree of the Jones polynomials for some families of braids and to obtain general qualitative results.
A RECURRENCE RELATION FOR THE JONES POLYNOMIAL
Barbu Berceanu,Abdul Rauf Nizami 대한수학회 2014 대한수학회지 Vol.51 No.3
Using a simple recurrence relation, we give a new method to compute the Jones polynomials of closed braids: we find a general expan- sion formula and a rational generating function for the Jones polynomials. The method is used to estimate the degree of the Jones polynomials for some families of braids and to obtain general qualitative results.