Geometry and Topology Seminar
Double Point Surgery and Configurations of Surfaces in 4-manifolds
Hee Jung Kim, Max Planck-Bonn

In this talk, we introduce "double point surgery", a variation of the Fintushel-Stern rim surgery, and use it to create configurations that are smoothly knotted, without changing the topological type, or the smooth isotopy type of the individual components of the configuration. As an application of knotting a configuration, we show that double point surgery gives rise to interesting exotic group actions with somewhat more complicated singular sets consisting of a configuration of surfaces.

2:30pm–3:45pm, Wednesday, December 2, 2009 in LGRT 1535

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