%0 Journal Article
%T Immersed and virtually embedded pi_1-injective surfaces in graph manifolds
%A Walter D. Neumann
%J Mathematics
%D 1999
%I arXiv
%R 10.2140/agt.2001.1.411
%X We show that many 3-manifold groups have no nonabelian surface subgroups. For example, any link of an isolated complex surface singularity has this property. In fact, we determine the exact class of closed graph-manifolds which have no immersed pi_1-injective surface of negative Euler characteristic. We also determine the class of closed graph manifolds which have no finite cover containing an embedded such surface. This is a larger class. Thus, manifolds M^3 exist which have immersed pi_1-injective surfaces of negative Euler characteristic, but no such surface is virtually embedded (finitely covered by an embedded surface in some finite cover of M^3).
%U http://arxiv.org/abs/math/9901085v2