Double point surgery and configurations of surfaces

Details Double point surgery and configurations of surfaces Double point surgery and configurations of surfaces

2010-01-21

arxiv.org/abs/1001.3750v2

Mathematics

Geometric Topology

Final version; to appear in Journal of Topology. Removed assertion about the restriction of the Z/m x Z/n action to the Z/m an

Scientific paper

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
x Z/n on simply connected 4-manifolds with complicated fixed-point sets.

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