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Trisections and branched covers of S^4, I

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Alexandra Kjuchukova
Mon, 2019-10-14 15:00 - 16:00
MPIM Lecture Hall
Parent event: 
MPIM Topology Seminar
I will give a generalization of triplane diagrams to describe embeddings of surfaces in S^4 which have isolated cone singularities. Given a singular surface F\subset S^4, a triplane diagram for F allows us to produce a trisection of a dihedral cover of S^4 branched along F. I'll discuss some examples and prove the existence of a 3-fold dihedral cover X\to S^4 for any four-manifold X which can be built with no 1-handles and no 3-handles. 


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