Kauffman Bracket on Rational Tangles and Rational Knots

Marin Drinov Academic Publishing House, Khaled Bataineh · Geometry Integrability and Quantization · 2018

Computing Kauffman bracket grows exponentially with the number of crossings in the knot diagram. In this paper we illustrate how Kauffman bracket for rational tangles and rational knots can be computed so that it involves a low number of terms. Kauffman bracket and Jones polynomial are known to have connections with statistical mechanics, quantum theory and quantum field theory.

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