Homological properties of graph manifolds
Abstract
We consider the following properties of compact oriented irreducible graphmanifolds: to contain a $\pi_1$injective surface (immersed, virtually embedded or embedded), be (virtually) fibered over $S^1$, and to carry a metric of nonpositive sectional curvature. It turns out that all these properties can be described from a unified point of view.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 December 2001
 arXiv:
 arXiv:math/0112308
 Bibcode:
 2001math.....12308S
 Keywords:

 Geometric Topology;
 57M50 (Primary) 57M10;
 57N10;
 57N35 (Secondary)
 EPrint:
 17 pages