Kaehler groups, quasi-projective groups, and 3-manifold groups
Geometric Topology
2014-02-25 v2 Algebraic Geometry
Abstract
We prove two results relating 3-manifold groups to fundamental groups occurring in complex geometry. Let N be a compact, connected, orientable 3-manifold. If N has non-empty, toroidal boundary, and \pi_1(N) is a Kaehler group, then N is the product of a torus with an interval. On the other hand, if N has either empty or toroidal boundary, and \pi_1(N) is a quasi-projective group, then all the prime components of N are graph manifolds.
Cite
@article{arxiv.1212.3022,
title = {Kaehler groups, quasi-projective groups, and 3-manifold groups},
author = {Stefan Friedl and Alexander Suciu},
journal= {arXiv preprint arXiv:1212.3022},
year = {2014}
}
Comments
18 pages v2: minor modifications