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TOPOLOGY SEMINAR: Michael Freedman
Microsoft and UCSB
Smooth embeddings of closed 3-manifolds in R^4
on Monday, September 15, 2014, at 10:20 AM - 12:00 PM in Science Center 232
I will present joint work with Ian Agol on smooth 3-manifolds in 4-space. It seems that only fairly primitive arguments obstruct the existence of such embeddings: For example no 3-manifold which embeds in a homology 4-sphere is known not to embed into S^4. I will give some new information on both existence of uniqueness of embeddings. The motivation for this study is that embeddings of 3 manifolds in R^4 impinges on the main open problems of low dimensional topology: The smooth Schoenflies conjecture, the smooth 4D Poincare conjecture, and the Andrews –Curtis conjecture.

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