Mathematical Sciences: Studying Links Via Closed Braids

设L是定向3-球面S3中的定向链接类型， 设L和L '分别由闭n-和m-辫线定义 图，表示L。 调查员主要关心的是 了解如何在共轭性和 阶级不稳定。 这是一个技术 问题涉及理解如何有限的集合， 3维空间中的简单闭曲线（可能是打结的） 可以相互联系。

Let L be an oriented link type in the oriented 3-sphere, S3, and let L and L', defined respectively by closed n- and m-braid diagrams, represent L. The investigator is primarily concerned with understanding how it is possible to jump between conjugacy classes without stabilization. This is one of the technical questions involved in understanding how a finite collection of (possibly knotted) simple closed curves in 3-dimensional space can be linked with one another.