Exceptional surgeries in 3-manifolds
Geometric Topology
2021-09-02 v2
Abstract
Myers shows that every compact, connected, orientable --manifold with no --sphere boundary components contains a hyperbolic knot. We use work of Ikeda with an observation of Adams-Reid to show that every --manifold subject to the above conditions contains a hyperbolic knot which admits a non-trivial non-hyperbolic surgery, a toroidal surgery in particular. We conclude with a question and a conjecture about reducible surgeries.
Keywords
Cite
@article{arxiv.2101.12259,
title = {Exceptional surgeries in 3-manifolds},
author = {Kenneth L. Baker and Neil R. Hoffman},
journal= {arXiv preprint arXiv:2101.12259},
year = {2021}
}
Comments
5 pages, 3 figures, version 2 is supported by ancillary files which include certificates of computations done in sage. There are minor changes to the exposition to reference these files