Smooth surfaces with non-simply-connected complements

Authors

Kim, Hee Jung
Ruberman, Daniel

Abstract

We give two constructions of surfaces in simply-connected 4-manifolds with non simply-connected complements. One is an iteration of the twisted rim surgery introduced by the first author. We also construct, for any group G satisfying some simple conditions, a simply-connected symplectic manifold containing a symplectic surface whose complement...

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pdf_oai.arXiv.org.0804.2265.pdf
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