Friday, October 05, 2018
3:00 PM -
5:00 PM
Linde Hall 187
Geometry and Topology Seminar
Embedding Seifert fibered spaces in the 4-sphere
Which 3-manifolds smoothly embed in the 4-sphere? This seemingly simple question turns out to be rather subtle. Using Donaldson's theorem, we derive strong restrictions to embedding a Seifert fibered space over an orientable base surface, which in particular gives a complete classification when e > k/2, where k is the number of exceptional fibers and e is the normalized central weight. Our results point towards an interesting conjecture which I'll discuss. This is joint work with Duncan McCoy.
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