On the failure of the lightbulb lemma

Speaker:

David Gabai

Zugehörigkeit:

Princeton

Datum:

Mon, 16/09/2019 - 10:00 - 10:50

Location:

MPIM Lecture Hall [2]

Parent event:

Workshop on 4-manifolds, September 16 - 20, 2019 [3]

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.