Length multiplicities of hyperbolic 3-manifolds

Abstract

Let $M=H^3/\Gamma$ be a hyperbolic 3-manifold, where $\Gamma$ is a non-elementary Kleinian group. It is shown that the length spectrum of $M$ is of unbounded multiplicity.

20 pages, no figures. Proof of Lemma 6.3 has been simplified and generalized. More details added to proof of Lemma 2.1. To appear in Israel Journal of Mathematics