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Heegaard Splittings of Three Manifolds and the Reidemeister-Singer theoremStudent-Run Applied & Math Seminar
|Speaker: ||Dale Koenig, UC Davis|
|Location: ||2112 MSB|
|Start time: ||Wed, Feb 10 2016, 12:10PM|
Every compact orientable 3-manifold can be broken into two simple pieces, called a Heegaard splitting. There is a notion of stabilization on these splittings, and in fact any two such splittings are identical after enough stabilizations. This is called the Reidemeister-Singer theorem. I will describe Heegaard splittings and prove that they always exist. I will give some simple examples of the decompositions. If there is time, I will provide some intuition as to why a 3-manifold can have multiple Heegaard splittings of a given complexity.