A Method for Unknotting Torus Knots
Geometric Topology
2012-07-23 v1
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.
Keywords
Cite
@article{arxiv.1207.4918,
title = {A Method for Unknotting Torus Knots},
author = {Vikash Siwach and Madeti Prabhakar},
journal= {arXiv preprint arXiv:1207.4918},
year = {2012}
}