Cyclic branched covers of alternating knots
Geometric Topology
2020-07-13 v2
Abstract
For any integer n > 2, the n-fold cyclic branched cover M of an alternating prime knot K in the 3-sphere determines K, meaning that if K is a knot in the 3-sphere that is not equivalent to K then its n-fold cyclic branched cover cannot be homeomorphic to M.
Cite
@article{arxiv.2006.12922,
title = {Cyclic branched covers of alternating knots},
author = {Luisa Paoluzzi},
journal= {arXiv preprint arXiv:2006.12922},
year = {2020}
}