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arXiv · 2506.01041

Hyperbolic small knots in spherical manifolds

Kazuhiro Ichihara
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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.

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Kazuhiro Ichihara. 2025-06-01. Hyperbolic small knots in spherical manifolds. https://arxiv.org/abs/2506.01041

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