Recurrence relation for Jones polynomials
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keywords
jonespolynomialsbraidsgeneralmethodrecurrencerelationclosed
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Using a simple recurrence relation we give a new method to compute Jones polynomials of closed braids: we find a general expansion formula and a rational generating function for Jones polynomials. The method is used to estimate degree of Jones polynomials for some families of braids and to obtain general qualitative results.
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