论文标题

基本的圆环结

The Fundamental Group of Torus Knots

论文作者

Mustapha, Ilyas Aderogba, Songhafouo, Paul Arnaud, Stanley, Donald

论文摘要

这项工作涉及基本结节基本组的计算。圆环结是特殊类型的结,在纵向和子午方向上多次缠绕圆环。我们通过使用代数拓扑和群体理论中的某些概念来计算和描述圆环结的基本组。我们还使用称为Wirtinger呈现的算法来计算任意结的基本组。

This work is concerned with the calculation of the fundamental group of torus knots. Torus knots are special types of knots which wind around a torus a number of times in the longitudinal and meridional directions. We compute and describe the fundamental group of torus knots by using some concepts in algebraic topology and group theory. We also calculate the fundamental group of an arbitrary knot by using an algorithm called the Wirtinger presentation.

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