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A RECURRENCE RELATION FOR THE JONES POLYNOMIAL

Barbu Berceanu|Abdul Rauf Nizami
대한수학회 (The Korean Mathematical Society)|2014.05|대한수학회지 (Journal of the KMS)|제51권 제3호|pp. 443-462

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참고문헌

키워드

Jones polynomialbraidsrecurrence relation.
주제분류수학

초록

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.

Abstract

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.

참고문헌 (23)

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