Topology & Geometric Group Theory Seminar

Fall 2010

1:30 – 2:30, Malott 253

Tuesday, October 26

Hee Jung Kim, Binghamton University

Double point surgery and exotic group actions in 4-manifolds

We introduce a new operation, double point surgery, on immersed surfaces in a 4-manifold, and use it to construct knotted configurations of surfaces in many 4-manifolds. Taking branched covers, we produce smoothly exotic actions of Z/m × Z/n on simply connected 4-manifolds with fixed-point set a union of surfaces with transverse double points. This is joint work with Daniel Ruberman.

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