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On the failure of the lightbulb lemma

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Speaker: 
David Gabai
Affiliation: 
Princeton
Date: 
Mon, 2019-09-16 10:00 - 10:50
Location: 
MPIM Lecture Hall

The light bulb lemma more or less asserts, subject to a certain hypothesis, that if a surface $S$ has a transverse sphere, then a tube linking $S$ can be isotopically pulled across $S$.  Is the failure of this certain hypothesis ever interesting?  We offer some preliminary thoughts.  
 

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