RIBBON KNOTS WITH TWO RIBBON TYPES
RIBBON KNOTS WITH TWO RIBBON TYPES
复制标题
两种丝带类型的丝带结
DOI：
--
复制
发表时间：
1992
期刊：
影响因子：
--
通讯作者：
T. Yasuda
中科院分区：
文献类型：
--
作者：
T. Yasuda
在欧氏（n + 2）-空间中，通过将m个带连接到m +1 n-球面上，构造了一个带状n-纽结Kn.有许多方法可以附加它们;因此，Kn有许多表示，称为带状表示。但对于m = 1的情形，M在n = 1的情形下证明了这一点。Scharlemann，n ≥ 2，Y. Marumoto说，如果Kn是解开的，它的丝带介绍基本上是独一无二的。本文证明了在m = 1和n ≥ 2的情况下，存在无穷多个具有本质上不同的两种带状表示的带状n-纽结。
A ribbon n-knot Kn is constructed by attaching m bands to m + 1n-spheres in the euclidean (n + 2)-space. There are many way of attaching them; as a result, Kn has many presentations which are called ribbon presentations. But concerning the case of m = 1, it was proved in the case of n = 1 by M. Scharlemann, and n ≥ 2 by Y. Marumoto that if Kn is unknotted, its ribbon presentation is essentially unique. In this note, we will prove in the case of m = 1 and n ≥ 2 that there are infinitely many ribbon n-knots which has essentially different two ribbon presentations.