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Smoothing 4-manifolds and homeomorphisms

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Speaker: 
Frank Quinn
Zugehörigkeit: 
Virginia Polytech/MPI
Datum: 
Don, 2013-02-28 15:00 - 16:00
Location: 
MPIM Lecture Hall
Parent event: 
MPI-Oberseminar

As a companion to Freedman's lectures I will describe applications of the disk theorem to finding smooth structures on topological 4-manifolds, isotopy of homeomorphisms to be diffeomorphisms on various types of open sets, etc. One consequence is that handlebody structures are equivalent to smooth structures, so generally don't exist. I describe modifications of standard handlebody arguments to work around this problem.

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