Topology Seminar: Ahmad Issa

  • Date: 10/23/2019
  • Time: 14:45
Lecturer(s):
Ahmad Issa, UBC
Location: 

University of British Columbia

Topic: 

Embedding Seifert fibered spaces in the 4-sphere

Description: 

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 is greater than k/2, where k is the number of exceptional fibers and e is the normalized central weight. Our results point towards a couple of interesting conjectures which I'll discuss.
This is joint work with Duncan McCoy.

Other Information: 

ESB 4127