The Classification of Spun Torus Knots
Geometric Topology
2008-08-08 v3
Abstract
S. Satoh has defined a construction to obtain a ribbon torus knot given a welded knot. This construction is known to be surjective. We show that it is not injective. Using the invariant of the peripheral structure, it is possible to provide a restriction on this failure of injectivity. In particular we also provide an algebraic classification of the construction when restricted to classical knots, where it is equivalent to the torus spinning construction.
Keywords
Cite
@article{arxiv.0711.1638,
title = {The Classification of Spun Torus Knots},
author = {Blake Winter},
journal= {arXiv preprint arXiv:0711.1638},
year = {2008}
}
Comments
12 pages, 6 figures