Volume 2, issue 1 (1998)

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Intersections in hyperbolic manifolds

Geometry & Topology 2 (1998) 117–144
 arXiv: math.GT/9807189
Abstract

We obtain some restrictions on the topology of infinite volume hyperbolic manifolds. In particular, for any $n$ and any closed negatively curved manifold $M$ of dimension $\ge 3$, only finitely many hyperbolic $n$–manifolds are total spaces of orientable vector bundles over $M$.

Keywords
hyperbolic manifold, intersection form, representation variety
Mathematical Subject Classification
Primary: 30F40, 53C23, 57R20
Secondary: 22E40, 32H20, 51M10