ON THE COMPLEXITY AND VOLUME OF HYPERBOLIC 3-MANIFOLDS

Thomas Delzant (1) , Leonid Potyagailo (2)

1 IRMA - Institut de Recherche Mathématique Avancée
2 LPP - Laboratoire Paul Painlevé - UMR 8524

We compare the volume of a hyperbolic 3-manifold M of finite volume and a complexity of its fundamental group.

Domaines: Topologie géométrique [math.GT]

Thomas Delzant, Leonid Potyagailo. ON THE COMPLEXITY AND VOLUME OF HYPERBOLIC 3-MANIFOLDS. Israel Journal of Mathematics, 2013, ⟨10.1007/s11856-012-0068-2⟩. ⟨hal-01262102⟩