Monday, April 17, 2017
4:00 pm
Sloan 151

Caltech/USC/UCLA Joint Topology Seminar

Characterizing slopes for torus knots
Duncan McCoy, Department of Mathematics, University of Texas, Austin

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 is sufficient to determine the knot K uniquely. I will discuss the problem of determining which slopes are characterizing for torus knots, paying particular attention to non-integer slopes. This problem is related to the question of which knots in the 3-sphere have Seifert fibered surgeries.

Contact Mathematics Department mathinfo@caltech.edu at 626-395-4335
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