Surgery untying of coloured knots
Geometric Topology
2009-04-06 v6
Abstract
For p=3 and for p=5 we prove that there are exactly p equivalence classes of p-coloured knots modulo (+/-1)--framed surgeries along unknots in the kernel of a p-colouring. These equivalence classes are represented by connect-sums of n left-hand (p,2)-torus knots with a given colouring when n=1,2,...,p. This gives a 3-colour and a 5-colour analogue of the surgery presentation of a knot.
Keywords
Cite
@article{arxiv.math/0506541,
title = {Surgery untying of coloured knots},
author = {Daniel Moskovich},
journal= {arXiv preprint arXiv:math/0506541},
year = {2009}
}
Comments
This is the version published by Algebraic & Geometric Topology on 24 May 2006