Double Point Surgery and Configurations of Surfaces in 4-manifolds

Hee Jung Kim (MPIM)

Monday 22nd February, 2010 16:00-17:00 Mathematics Building, room 204


We introduce a new operation, double point surgery, on a configuration of surfaces in a 4-manifold, and use it to construct configurations that are smoothly knotted, without changing the topological type or the smooth embedding type of the individual components of the configuration. Taking branched covers, we produce smoothly exotic actions of $Z_m \oplus Z_n$ on simply connected 4-manifolds with complicated fixed-point sets.

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