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A Reidemeister-Singer conjecture for surface diagrams


Speaker: Jonathan Williams
Location: 2112 MSB
Start time: Wed, Oct 20 2010, 4:10PM

There is a way to specify any smooth, closed oriented four-manifold using a surface decorated with simple closed curves, something I call a surface diagram. In this talk I will describe a few moves on these objects which preserve the underlying four-manifold, two of which are reminiscent of Heegaard diagrams. These may form part of a uniqueness theorem for such diagrams.