Bounding non-integral non-characterizing Dehn surgeries

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Patricia Sorya, Université du Québec à Montréal
Fine Hall 314

A Dehn surgery slope p/q is said to be characterizing for a knot K if the homeomorphism type of the p/q-Dehn surgery along K determines the knot up to isotopy. I discuss advances towards a conjecture of McCoy that states that for any knot, all but at most finitely many non-integral slopes are characterizing.