Twist formulas for one-row colored $A_2$ webs and $\mathfrak {sl}_{3}$ tails of $(2, 2m)$-torus links
Twist formulas for one-row colored $A_2$ webs and $\mathfrak {sl}_{3}$ tails of $(2, 2m)$-torus links
复制标题
单行彩色 $A_2$ 网和 $(2, 2m)$-圆环链接的 $mathfrak {sl}_{3}$ 尾部的扭曲公式
DOI：
10.1007/s40306-020-00397-9
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发表时间：
2021
影响因子：
0.5
通讯作者：
Yuasa Wataru
中科院分区：
文献类型：
--
作者：
Ishibashi Tsukasa;Yuasa Wataru;Yuasa Wataru
用两行杨氏图λ对连杆构件着色得到着色琼斯多项式。虽然一般情况下很难计算，但我们可以用Kuperberg的A2-skein关系式来计算。本文给出了A_2网空间中被单行Young图着色的两股绞合线的一些公式，并对定向（2，2 m）-环面链进行了计算。这些显式公式导出了T（2，2 m）的尾部。由于T（2，2 m）的尾部被称为假θ级数，所以它们也给出了具有单行着色的假θ级数的明确描述。
Thecolored Jones polynomialis obtained by coloring the link components with two-row Young diagramλ. Although it is difficult to computein general, we can calculate it by using Kuperberg’sA2skein relation. In this paper, we show some formulas for twisted two strands colored by one-row Young diagram inA2web space and computefor an oriented (2,2m)-torus link. These explicit formulas derives thetail ofT(2,2m). They also give explicit descriptions of thefalse theta series with one-row coloring because thetail ofT(2,2m) is known as the false theta series.