Non-integral boundary slopes of alternating knots
Geometric Topology
2023-09-06 v1
Abstract
We show, for every positive integer , there is an alternating knot having a boundary slope with denominator . We make use of Kabaya's method for boundary slopes and the layered solid torus construction introduced by Jaco and Rubinstein and further developed by Howie et al.
Cite
@article{arxiv.2309.02370,
title = {Non-integral boundary slopes of alternating knots},
author = {Masaharu Ishikawa and Thomas W. Mattman and Koya Shimokawa},
journal= {arXiv preprint arXiv:2309.02370},
year = {2023}
}
Comments
18 pages, 5 figures, 12 tables