The colored Jones polynomial of singular knots

被引：0
|
作者：
Bataineh, Khaled [1 ]
Elhamdadi, Mohamed [2 ]
Hajij, Mustafa [2 ]
机构：
[1] Jordan Univ Sci & Technol, Dept Math & Stat, Irbid 22110, Jordan
[2] Univ S Florida, Dept Math, Tampa, FL 33647 USA
来源：
NEW YORK JOURNAL OF MATHEMATICS | 2016年 / 22卷
关键词：
Skein theory; singular knots; colored Jones polynomial; QUANTUM GROUPS; KAUFFMAN BRACKET; INVARIANTS; 3-MANIFOLDS; GRAPHS; LINKS;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We generalize the colored Jones polynomial to 4-valent graphs. This generalization is given as a sequence of invariants in which the first term is a one variable specialization of the Kauffman-Vogel polynomial. We use the invariant we construct to give a sequence of singular braid group representations.
引用
收藏
页码：1439 / 1456
页数：18
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