Fibred knots and twisted Alexander invariants
Fibred knots and twisted Alexander invariants
复制标题
纤维结和扭曲的亚历山大不变量
DOI：
10.1090/s0002-9947-03-03348-8
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发表时间：
2001
影响因子：
1.3
通讯作者：
Jae Choon Cha
中科院分区：
文献类型：
--
作者：
Jae Choon Cha
我们研究了纤维结的扭曲Alexander不变量。我们建立了纽结的扭曲Alexander不变量为纤维的必要条件，并发展了一种实用的方法来从单调类型计算扭转Alexander不变量。结果表明，即使对于具有平凡Alexander多项式的纽结，扭曲Alexander不变量也比经典Alexander不变量携带了更多关于烈性的信息。
We study the twisted Alexander invariants of fibred knots. We establish necessary conditions on the twisted Alexander invariants for a knot to be fibred, and develop a practical method to compute the twisted Alexander invariants from the homotopy type of a monodromy. It is illustrated that the twisted Alexander invariants carry more information on fibredness than the classical Alexander invariants, even for knots with trivial Alexander polynomials.