Skip to main content
Browse by:

Effective March 10, 2020, all Duke-sponsored events over 50 people have been cancelled, rescheduled, postponed or virtualized.
Please check with the event contact regarding event status. For more information, please see

Embedding Seifert fibered spaces in the 4-sphere

Event Image
Icon calendar
Monday, February 04, 2019
Icon time
3:15 pm - 4:15 pm
Icon speaker
Ahmad Issa (University of Texas, Austin, Mathematics)
Icon series
Geometry/topology Seminar

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.