Billiard knots in a cylinder
Geometric Topology
2022-06-28 v1
Abstract
We define cylinder knots as billiard knots in a cylinder. We present a necessary condition for cylinder knots: after dividing cylinder knots by possible rotational symmetries we obtain ribbon knots. We obtain an upper bound for the number of cylinder knots with two fixed parameters (out of three). In addition we prove that rosette knots are cylinder knots.
Keywords
Cite
@article{arxiv.math/9811006,
title = {Billiard knots in a cylinder},
author = {Christoph Lamm and Daniel Obermeyer},
journal= {arXiv preprint arXiv:math/9811006},
year = {2022}
}
Comments
14 pages, 10 figures, to appear in the Journal of Knot Theory