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Homological properties of graph manifolds

P. Svetlov

math.GTarXiv:math/0112308

Abstract

We consider the following properties of compact oriented irreducible graph-manifolds: to contain a π1-injective surface (immersed, virtually embedded or embedded), be (virtually) fibered over S1, 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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