#### 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
##### Publication
Revised: 26 March 1998
Accepted: 17 July 1998
Published: 20 July 1998
Proposed: David Gabai
Seconded: Walter Neumann, Wolfgang Metzler
##### Authors
 Igor Belegradek Department of Mathematics and Statistics McMaster University 1280 Main St West Hamilton Ontario L8S 4K1 Canada