On the Links–Gould Invariant of Links
On the Links–Gould Invariant of Links
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关于链接——链接的古尔德不变量
DOI：
10.1142/s0218216599000110
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发表时间：
1998
影响因子：
0.5
通讯作者：
J. Links
中科院分区：
文献类型：
--
作者：
D. D. Wit;L. Kauffman;J. Links
我们详细地介绍和研究了（1,1）缠结的不变量。这个不变量来源于量子超代数Uq的四维表示[gl(2|1)]，将被称为Links-Gould不变量。我们发现我们的不变量不同于Jones， HOMFLY和Kauffman多项式（检测一些不变量失效的链接的手性），并且它不区分突变或逆。该方法是基于一个抽象张量状态模型的不变量，对计算和理论探索都非常有用。
We introduce and study in detail an invariant of (1, 1) tangles. This invariant, derived from a family of four dimensional representations of the quantum superalgebra Uq[gl(2|1)], will be referred to as the Links–Gould invariant. We find that our invariant is distinct from the Jones, HOMFLY and Kauffman polynomials (detecting chirality of some links where these invariants fail), and that it does not distinguish mutants or inverses. The method of evaluation is based on an abstract tensor state model for the invariant that is quite useful for computation as well as theoretical exploration.