Alexander polynomials of two-bridge links
Alexander polynomials of two-bridge links
复制标题
二桥链路的亚历山大多项式
DOI：
10.1017/s1446788700027336
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发表时间：
1981
期刊：
影响因子：
--
通讯作者：
T. Kanenobu
中科院分区：
文献类型：
--
作者：
T. Kanenobu
本文通过将每一个二桥链路置于一种特殊的康威图中，给出了计算二桥链路的亚历山大多项式的算法。利用该算法，给出了二桥连杆的多项式为亚历山大多项式的必要条件，特别是系数的交替性和单调性条件，类似于约化亚历山大多项式的相应已知性质。
Abstract We provide an algorithm for calculating the Alexander polynomial of a two-bridge link by putting every two-bridge link in a special type of Conway diagram. Using this algorithm, some necessary conditions for a polynomial to be the Alexander polynomial of a two-bridge link are given, in particular, certain alternating and monotonicity conditions on the coefficients, analogous to corresponding known properties of the reduced Alexander polynomial.