Bounding non-integral non-characterizing Dehn surgeries

Series
Geometry Topology Seminar
Time
Monday, December 2, 2024 - 2:00pm for 1 hour (actually 50 minutes)
Location
Skiles 006
Speaker
Patricia Sorya – UQAM
Organizer
Jennifer Hom

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.