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The Dehn surgery characterisation problem

Posted in
Speaker: 
Laura Wakelin
Affiliation: 
MPIM
Date: 
Mon, 30/10/2023 - 14:20 - 14:35
Location: 
MPIM Lecture Hall
Parent event: 
MPIM Topology Seminar

Short introductory talks.

A slope p/q is characterising for a knot K in the 3-sphere if the oriented homeomorphism type of the 3-manifold obtained by performing Dehn surgery of slope p/q on K uniquely determines the knot K. In this talk, I will outline our current understanding of characterising and non-characterising slopes and discuss some new ideas for distinguishing them.

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