Intersections in hyperbolic manifolds

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 $\geq 3$ , 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

References

Forward citations

Publication

Received: 21 December 1996

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

Volume 2, issue 1 (1998)

Igor Belegradek