ALEXANDER GROUPS AND VIRTUAL LINKS
ALEXANDER GROUPS AND VIRTUAL LINKS
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亚历山大群组和虚拟链接
DOI：
10.1142/s0218216501000792
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发表时间：
2001
影响因子：
0.5
通讯作者：
Susan G. Williams
中科院分区：
文献类型：
--
作者：
D. Silver;Susan G. Williams
定义了由d个部件组成的有向虚链路l的扩展亚历山大群。由它的阿贝尔化得到一个多项式不变量序列Δi (u1，…，ud, v), i= 0,1，…。当l为经典连杆时，Δi化简为连杆在d个变量u1v，…，udv中众所周知的ith Alexander多项式；特别是，Δ0消失了。
The extended Alexander group of an oriented virtual link l of d components is defined. From its abelianization a sequence of polynomial invariants Δi (u1,…,ud, v), i=0, 1,…, is obtained. When l is a classical link, Δi reduces to the well-known ith Alexander polynomial of the link in the d variables u1v,…,udv; in particular, Δ0 vanishes.