Kauffman-Jones polynomial of a curve on a surface
Kauffman-Jones polynomial of a curve on a surface
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曲面上曲线的考夫曼-琼斯多项式
DOI：
10.1142/s0218216517500626
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发表时间：
2017
影响因子：
0.5
通讯作者：
Kuno Yusuke
中科院分区：
文献类型：
--
作者：
Fukuhara Shinji;Kuno Yusuke
本文对有向曲面上的曲线引入了一个Kauffman-Jones型多项式，它的端点在曲面的边界上。的多项式是一个Laurent多项式在一个变量，是同伦类的不变量。作为应用，我们得到了曲线在同伦类内的最小自交数的一个估计。然后，我们给出了一个弦的图解描述，并给出了一些计算结果的跨度.
We introduce a Kauffman–Jones type polynomialfor a curveon an oriented surface, whose endpoints are on the boundary of the surface. The polynomialis a Laurent polynomial in one variableand is an invariant of the homotopy class of. As an application, we obtain an estimate in terms of the span offor the minimum self-intersection number of a curve within its homotopy class. We then give a chord diagrammatic description ofand show some computational results on the span of.