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J. Korean Math. Soc. 2014; 51(3): 443-462
Printed May 1, 2014
https://doi.org/10.4134/JKMS.2014.51.3.443
Copyright © The Korean Mathematical Society.
A recurrence relation for the Jones polynomial
Barbu Berceanu and Abdul Rauf Nizami
GC University, University of Education
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.
Keywords: Jones polynomial, braids, recurrence relation
MSC numbers: Primary 57M27, 57Q45
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