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Smooth surfaces with non-simply-connected complements [Version 0]
14 Apr 2008 | By
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 has fundamental group G. In each case, we produce infinitely many smoothly inequivalent surfaces that are equivalent up to smooth s-cobordism and hence are topologically equivalent for good groups. Comment: 28 pages, 2 figures

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  • DOI: 10.2140/agt.2008.8.2263
  • Access type: Cc By
  • Review type: Open Review
  • Publication type: Article
  • Publication date: 14 April 2008

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