The Kauffman Polynomials of 2-bridge Knots
نویسندگان
چکیده
The 2-bridge knots (or links) are a family of knots with bridge number 2. A 2bridge knot (link) has at most 2 components. Except for the knot 85, the first 25 knots in the Rolfsen Knot Table are 2-bridge knots. A 2-bridge knot is also called a rational knot because it can be obtained as the numerator or denominator closure of a rational tangle. The rich mathematical aspects of 2-bridge knots can be found in many references such as [3], [4], [7], [10], [6], [12] and [11]. The regular diagram D of a 2-bridge knot can be drawn as follows [10].
منابع مشابه
A Relation between the Kauffman and the Homfly Polynomials for Torus Knots
Polynomial invariants corresponding to the fundamental representation of the gauge group SO(N) are computed for arbitrary torus knots in the framework of Chern-Simons gauge theory making use of knot operators. As a result, a formula which relates the Kauffman and the HOMFLY polynomials for torus knots is presented. ⋆ E-mail: [email protected]
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