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articleNo Access
The ${𝔰 𝔩}_{3}$ colored Jones polynomials for $2$ -bridge links
- Wataru Yuasa
Journal of Knot Theory and Its Ramifications17 Apr 2017
Preview Abstract
Kuperberg introduced web spaces for some Lie algebras which are generalizations of the Kauffman bracket skein module on a disk. We derive some formulas for $A_{1}$ and $A_{2}$ clasped web spaces by graphical calculus using skein theory. These formulas are colored version of skein relations, twist formulas and bubble skein expansion formulas. We calculate the ${𝔰 𝔩}_{2}$ and ${𝔰 𝔩}_{3}$ colored Jones polynomials of $2$ -bridge knots and links explicitly using twist formulas.

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