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Characterizing slopes for torus knots

Presented by: 
Duncan McCoy University of Texas at Austin
Date: 
Thursday 2nd February 2017 - 14:00 to 15:00
Venue: 
INI Seminar Room 1
Abstract: 
We say that   is a characterizing slope for a knot   in the 3-sphere if the oriented homeomorphism type of  -surgery is sufficient to determine the knot   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 determining which knots in     have Seifert fibered surgeries.
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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons