OSU Mathematics Seminars and Colloquia
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Wed, Feb 17, 2021
Topology Seminar
3:30 PM
Virtual
Exceptional Surgeries in 3-manifolds
Neil Hoffman, Oklahoma State
Contact Neil Hoffman for link for the talk.
[Abstract] [PDF]
Abstract: 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. This is joint work with Ken Baker
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