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Reducibility of Heegaard splittings
Student-Run Geometry/Topology Seminar| Speaker: | Marion Moore, UC Davis |
| Location: | 2112 MSB |
| Start time: | Thu, Oct 5 2006, 11:00AM |
A manifold M is reducible if it contains an essential sphere, and a Heegaard splitting of a manifold is reducible if there is an essential closed curve on the Heegaard surface that bounds a disk on both sides of the splitting. In this talk I will give basic definitions and show that the reducibility of a manifold implies the reducibility of every Heegaard splitting.