Abstract
We consider two constructions of surfaces in simply-connected –manifolds with non simply-connected complements. One is an iteration of the twisted rim surgery introduced by the first author [Geom. Topol. 10 (2006) 27–56]. We also construct, for any group satisfying some simple conditions, a simply-connected symplectic manifold containing a symplectic surface whose complement has fundamental group . In each case, we produce infinitely many smoothly inequivalent surfaces that are equivalent up to smooth –cobordism and hence are topologically equivalent for good groups.
Citation
Hee Jung Kim. Daniel Ruberman. "Smooth surfaces with non-simply-connected complements." Algebr. Geom. Topol. 8 (4) 2263 - 2287, 2008. https://doi.org/10.2140/agt.2008.8.2263
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