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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
Ahmad Issa, Department of Mathematics, University of Texas, Austin,
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.
For more information, please contact Mathematics Department by phone at 626-395-4335 or by email at mathinfo@caltech.edu.