论文标题
扭曲和亚历山大多项式
Twistings and the Alexander polynomial
论文作者
论文摘要
我们通过在添加0,1，...，N-1 Full Twists获得的链接的Alexander多项式方面，通过向正相同的平行N链中添加任意数量的完整曲折，给出了Alexander多项式的明确公式。从中，我们看到亚历山大多项式在增加了足够多的完整曲折后稳定。计算中使用的主要工具是使用$ u_ {q}（gl（1 | 1））$的矢量空间表示表示亚历山大多项式的。
We give an explicit formula of the Alexander polynomial of the link obtained by adding an arbitrary number of full twists to positively oriented parallel n-strands in terms of the Alexander polynomials of the links obtained by adding 0,1,...,n-1 full twists. From this, we see that the Alexander polynomials stabilize after adding sufficiently many full twists. The main tool used in the computation is expressing the Alexander polynomial using the vector space representation of $U_{q}(gl(1|1))$.
