Homological properties of graph manifolds
Abstract
Description
We consider the following properties of compact oriented irreducible graph-manifolds: to contain a $π_1$-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.
17 pages
17 pages