Abstract
Algebr. Geom. Topol. 8 (2008), no. 4, 2263-2287 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.