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 [Formula: see text] and [Formula: see text] 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 [Formula: see text] and [Formula: see text] colored Jones polynomials of [Formula: see text]-bridge knots and links explicitly using twist formulas.

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