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Double point surgery and configurations of surfaces

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Preprint
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DOI: 10.1112/jtopol/jtr014
Source
arXiv
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Abstract

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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