192 citations · 749 across the 37 of their papers we have counts for
4 papers · 1 filter
Finiteness of arithmetic Kleinian reflection groups
Ian Agol
We prove that there are only finitely many arithmetic Kleinian maximal reflection groups.
Dehn surgery, homology and hyperbolic volume
Ian Agol, Marc Culler, Peter B Shalen
If a closed, orientable hyperbolic 3--manifold M has volume at most 1.22 then H_1(M;Z_p) has dimension at most 2 for every prime p not 2 or 7, and H_1(M;Z_2) and H_1(M;Z_7) have di…
Lower bounds on volumes of hyperbolic Haken 3-manifolds
Ian Agol, Nathan M. Dunfield, Peter A. Storm +1
We prove a volume inequality for 3-manifolds having C^0 metrics "bent" along a hypersurface, and satisfying certain curvature pinching conditions. The result makes use of Perelman'…
Singular surfaces, mod 2 homology, and hyperbolic volume, I
Ian Agol, Marc Culler, Peter B. Shalen
This paper contains a purely topological theorem and a geometric application. The topological theorem states that if M is a simple closed orientable 3-manifold such that π_1(M) con…