Skein-theoretical derivation of some formulas of Habiro
Skein-theoretical derivation of some formulas of Habiro
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Habiro部分公式的绞纱理论推导
DOI：
10.2140/agt.2003.3.537
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发表时间：
2003
影响因子：
0.7
通讯作者：
G. Masbaum
中科院分区：
文献类型：
--
作者：
G. Masbaum
本文利用绞链理论计算了Habiro在其积分同调3-球面sl ~ 2不变量理论中所考虑的某些幂级数的系数。哈比罗最初使用量子群U q sl 2推导出这些公式。作为应用，我们给出了扭结的色琼斯多项式的一个公式，推广了Habiro和Le关于三叶形和八字形结的公式。
We use skein theory to compute the coefficients of certain power series considered by Habiro in his theory of sl 2 invariants of integral homology 3-spheres. Habiro originally derived these formulas using the quantum group U q sl 2 . As an application, we give a formula for the colored Jones polynomial of twist knots, generalizing formulas of Habiro and Le for the trefoil and the figure eight knot.