The first betti number of the smallest closed hyperbolic 3-manifold

@inproceedings{Culler1998TheFB,
  title={The first betti number of the smallest closed hyperbolic 3-manifold},
  author={Marc Culler and Sa'ar Hersonsky and Peter B. Shalen},
  year={1998}
}
0. INTRODUCTION It follows from the work of Gromov, Jorgensen and Thurston (see [3]) that the real numbers which arise as volumes of hyperbolic 3-manifolds form a well-ordered set. It is not known at present which closed 3-manifold has the minimal volume (or whether such a manifold is unique). The techniques developed in the series of papers [6-9,1], bear on this question since they give volume estimates which depend on topological properties of the manifold. If a certain topological hypothesis… CONTINUE READING