The Fundamental Group of Torus Knots

Ilyas Aderogba Mustapha; Paul Arnaud Songhafouo; Donald Stanley

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arXiv · 2204.08553

The Fundamental Group of Torus Knots

Ilyas Aderogba Mustapha·Paul Arnaud Songhafouo·Donald Stanley

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Abstract

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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Ilyas Aderogba Mustapha, Paul Arnaud Songhafouo, Donald Stanley. 2022-04-18. The Fundamental Group of Torus Knots. https://arxiv.org/abs/2204.08553

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