Counting cusped hyperbolic three-manifold that bound geometrically

Alexander Kolpakov (1) , Stefano Riolo (1)

1 Laboratoire de Mathématiques de Neuchâtel

We show that the number of isometry classes of cusped hyperbolic 3-manifolds that bound geometrically grows at least super-exponentially with their volume, both in the arithmetic and non-arithmetic settings.

Mots clés: 3-manifold; 4-manifold; hyperbolic geometry; cobordism; geometric boundary

Mots clés: 3-variété; 4-variété; géométrie hyperbolique; cobordisme

Domaines: Combinatoire [math.CO]; Géométrie différentielle [math.DG]; Géométrie métrique [math.MG]; Mathématique discrète [cs.DM]; Théorie des groupes [math.GR]; Théorie et langage formel [cs.FL]; Topologie algébrique [math.AT]; Topologie géométrique [math.GT]

Alexander Kolpakov, Stefano Riolo. Counting cusped hyperbolic three-manifold that bound geometrically. 2019. ⟨hal-01858015v2⟩