The sl3 colored Jones polynomials for 2-bridge links

被引：3
|
作者：
Yuasa, Wataru [1 ]
机构：
[1] Tokyo Inst Technol, Dept Math, Meguro Ku, 2-12-1 Ookayama, Tokyo 1528551, Japan
来源：
JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS | 2017年 / 26卷 / 07期
关键词：
Colored Jones polynomials; skein relations; 2-bridge links; TEMPERLEY-LIEB ALGEBRA; SKEIN THEORY; 3-MANIFOLDS; INVARIANTS; KNOTS; VOLUME;
D O I：
10.1142/S0218216517500389
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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 sl(2) and sl(3) colored Jones polynomials of 2-bridge knots and links explicitly using twist formulas.
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页数：37
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