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Junior Topology
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Ceren Kose, : Symmetric Unions and Reducible Fillings
Wednesday, March 10, 2021, 02:00pm - 03:00pm
Abstract: Recently, Tanaka and I, independently, classified composite symmetric unions with minimal twisting number one. My proof involves classical results in 3-manifold topology, in particular a theorem of Gordon and Luecke on reducible fillings. Their theorem relies on combinatorial analysis of the graphs of intersection of punctured surfaces. In this talk, I will give a brief description of this set up. Then I will discuss how to apply this technique to study composite symmetric unions and then give another proof to the same result by studying these graphs.

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