Geometry/topology Seminar
Monday, February 4, 2019, 3:15pm, 119 Physics
Ahmad Issa (University of Texas, Austin, Mathematics)
Embedding Seifert fibered spaces in the 4-sphere

Abstract:

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. [video]

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