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The mapping class group of a Heegaard Splitting

Student-Run Geometry/Topology Seminar

Speaker: Jesse Johnson, UC Davis
Location: 693 Kerr
Start time: Thu, Oct 13 2005, 12:40PM

Given a Heegaard splitting of a 3-manifold, the mapping class group of the splitting is the group of automorphisms of the 3-manifold that bring the Heegaard surface back onto itself. We will discuss ways of ``calculating'' this group via algebra and geometry and discuss two recent results in the area.