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Speaker:
David Gay
Affiliation:
University of Georgia
Date:
Tue, 18/10/2016 - 11:00 - 12:00
Location:
MPIM Lecture Hall
Parent event:
Conference on 4-manifolds and knot concordance I'll steal ideas from Lickorish's proof that 3-manifolds bound 4-manifolds and Hatcher and Thurston's proof that the mapping class group of a surface is finitely presented to give, among other things, a new proof that $\Omega_4=\mathbb{Z}$ (using trisections where Lickorish uses Heegaard splittings). The key idea is that generic $n$-parameter families of functions on surfaces describe $(n+3)$-manifolds, at least for $n\leq 2$.
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