On the determination of knots by their cyclic unbranched coverings
Geometric Topology
2008-05-27 v3
Abstract
We show that, for any prime p, a knot K in the 3-sphere is determined by its p-fold cyclic unbranched covering. We also investigate when the m-fold cyclic unbranched covering of a knot coincides with the n-fold cyclic unbranched covering of another knot, for different coprime integers m and n.
Cite
@article{arxiv.math/0703268,
title = {On the determination of knots by their cyclic unbranched coverings},
author = {Bruno P. Zimmermann},
journal= {arXiv preprint arXiv:math/0703268},
year = {2008}
}
Comments
this is the final version which appears in Rend. Istit. Mat. Univ. Trieste 39, 337-346 (2007)