A Method for Unknotting Torus Knots

Vikash Siwach; Madeti Prabhakar

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arXiv · 1207.4918

A Method for Unknotting Torus Knots

Vikash Siwach·Madeti Prabhakar

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Abstract

Unknotting numbers for torus knots and links are well known. In this paper, we present a method for determining the position of unknotting number crossing changes in a toric braid B(p, q) such that the closure of the resultant braid is equivalent to the trivial knot or link. Also, we provide a simple proof for the important result K(p, q) \sim K(q, p) using the results obtained from this method.

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Vikash Siwach, Madeti Prabhakar. 2012-07-20. A Method for Unknotting Torus Knots. https://arxiv.org/abs/1207.4918

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