Surgeries on torus knots, rational balls, and cabling

Kyle Larson (Georgia Tech)

Monday 16th November, 2020 16:00-17:00 Online


We will discuss a classification of which positive integral surgeries on positive torus knots bound rational homology balls. Additionally, for a given knot K we consider which cables K(p,q) admit integral surgeries that bound rational homology balls. For such cables, let S(K) be the set of corresponding rational numbers q/p. We show that if n-surgery on K bounds a rational homology ball then n is an accumulation point for S(K). This is joint work with Paolo Aceto, Marco Golla, and Ana G. Lecuona.

The talk will be preceded by a 30 minute tea time. The Zoom link for the seminar is and the passcode is the genus of the two-dimensional sphere (4 letters, all lowercase).

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