Homological properties of graph manifolds

Details Homological properties of graph manifolds Homological properties of graph manifolds

2001-12-31

arxiv.org/abs/math/0112308v2

Mathematics

Geometric Topology

17 pages

Scientific paper

We consider the following properties of compact oriented irreducible graph-manifolds: 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.

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