香蕉视频

Title: Characterizing slopes for torus knots and hyperbolic knots.

Abstract: A slope 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. It is known that for a given torus knot all but finitely many non-integer slopes are characterizing and that for hyperbolic knots all but finitely many slopes with q>2 are characterizing. I will discuss the proofs of these results, which have a surprising amount in common.

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