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Non-integral Dehn surgeries characterize composite knots

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Patricia Sorya
Université du Québec à Montréal
Tue, 16/07/2024 - 11:45 - 12:45
MPIM Lecture Hall

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 show that if K is a composite knot, then every non-integral slope is characterizing for K. This yields the first and only examples to date of a complete and non-empty
list of non-characterizing slopes for a knot.


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