Hello everyone,
Tomorrow we will be holding usual seminar. I will be speaking. My title and abstract are below.
Title: Exceptional Surgeries in 3-manifolds
Abstract: Bob (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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Neil R. Hoffman Assistant Professor Department of Mathematics 523 Math Science Building Oklahoma State University Stillwater, OK 74078-1058 405-744-7791 http://math.okstate.edu/people/nhoffman