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University of Massachusetts Amherst
Department of Mathematics and Statistics
 
Geometry and Topology Seminar



Double Point Surgery and Configurations of Surfaces in 4-manifolds


Abstract: 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.


Hee Jung Kim
Max Planck-Bonn

Wednesday, December 2, 2009

2:30pm-3:45pm

LGRT 1535