Hyperbolic small knots in spherical manifolds
Geometric Topology
2025-06-03 v1
Abstract
It was conjectured by Lopez that every closed irreducible non-Haken 3-manifold contains a small knot. In this paper, we give explicit examples of hyperbolic small knots in most closed orientable spherical 3-manifolds other than prism manifolds.
Cite
@article{arxiv.2506.01041,
title = {Hyperbolic small knots in spherical manifolds},
author = {Kazuhiro Ichihara},
journal= {arXiv preprint arXiv:2506.01041},
year = {2025}
}
Comments
7 pages, 1 figure