Cyclic branched covers of alternating knots and $L$-spaces
Geometric Topology
2014-04-29 v1
Abstract
For any alternating knot, it is known that the double branched cover of the -sphere branched over the knot is an -space. We show that the three-fold cyclic branched cover is also an -space for any genus one alternating knot.
Cite
@article{arxiv.1404.6892,
title = {Cyclic branched covers of alternating knots and $L$-spaces},
author = {Masakazu Teragaito},
journal= {arXiv preprint arXiv:1404.6892},
year = {2014}
}
Comments
10 pages, 8 figures