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`Most' irreducible 3-manifolds contain incompressible surfaces
Geometry/Topology| Speaker: | J. Hyam Rubinstein, University of Melbourne |
| Location: | 693 Kerr |
| Start time: | Wed, Feb 9 2005, 5:10PM |
Description
This is joint work with Ichihara and Ozawa
We show that strongly irreducible Heegaard splittings can be organized into classes, by attaching
separating then non-separating handles. With only separating handles, one always gets separating
incompressible surfaces. Attaching the non-separating handles can give compressing disks for the surfaces
in only a small number of cases, by a result of Y.Q. Wu. This gives some more evidence of why non Haken
examples are difficult to find.