2021/01/28 by Baker, Kenneth L., Hoffman, Neil R.
#FOS: Mathematics #Geometric Topology (math.GT)
paper · doi:10.48550/arxiv.2101.12259
Myers shows that every compact, connected, orientable 3--manifold with no 2--sphere boundary components contains a hyperbolic knot. We use work of Ikeda with an observation of Adams-Reid to show that every 3--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.