Ian Biringer Juan Souto
Published 2009-01-03, updated 2010-10-05Version 3
We prove that there are only finitely many closed hyperbolic 3-manifolds with injectivity radius and first eigenvalue of the Laplacian bounded below whose fundamental groups can be generated by a given number of elements. An application to arithmetic manifolds is also given.
Comments: 20 pages, to appear in Journal of the London Mathematical Society
Injectivity radii of hyperbolic polyhedra
Injectivity radii of hyperbolic integer homology 3-spheres
Volumes of $\mathrm{SL}_n\mathbb{C}$-representations of fundamental groups of hyperbolic 3-manifold groups
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