Polynomial invariants of positive links

Polynomial invariants of positive links
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正向链接的多项式不变量

DOI:
10.1016/0040-9383(92)90011-6
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发表时间:
1992
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影响因子:
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通讯作者:
Y. Yokota
Y. Yokota
中科院分区:
--
文献类型:
--
作者:
Y. Yokota

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1.引言一个有向链接L被称为是积极的,如果L有一个图没有负交叉。许多有趣的功能已被发现在各种不变量的这种积极的联系。例如,它们的签名必须是负的[Cl,9,10,11],并且它们的Conway多项式总是正的[2]。除了这些结果,我们将建立一个奇怪的对应,在绞和考夫曼多项式的正链接。为了说明这个新结果,我们将准备几个符号。积极
1. INTRODUCTION AN ORIENTED link L is said to be positive if L has a diagram with no negative crossing. Many interesting features have been detected in various invariants of such positive links. For instance, signatures of them must be negative Cl, 9, 10, ll] and the Conway polynomials of them are always positive [2]. In addition to these results, we will establish a curious correspondence in the skein and Kauffman polynomials of positive links. To state this new result, we will prepare several notations. positive