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Characterizing slopes for torus knots

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HTLW02 - 3-manifold workshop

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.

This talk is part of the Isaac Newton Institute Seminar Series series.

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