Characterizing slopes for torus knots.

Duncan McCoy (Austin)

Monday 28th November, 2016 16:00-17:00 Maths 204


We say that p/q is a characterizing slope for a knot K in the 3-sphere if the oriented homeomorphism type of p/q surgery on K determines K uniquely. I will discuss what is known about the set of characterizing slopes for torus knots, paying particular attention to non-integer slopes. This is related to conjectures about knots in the 3-sphere with Seifert fibered surgeries.

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