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 the complexity of its fundamental group.

Mots clés: invariant $T$; volume; hyperbolic manifolds

Domaines: Topologie géométrique [math.GT]; Théorie des groupes [math.GR]

Thomas Delzant, Leonid Potyagailo. On the Complexity and Volume of Hyperbolic 3-Manifolds. Israel Journal of Mathematics, 2013, 193 (1), ⟨10.1007/s11856-012-0068-2⟩. ⟨hal-00342767⟩