Let M be a complete, finite-volume, orientable hyperbolic manifold having exactly one cusp. If we assume that 1.M / has no subgroup isomorphic to a genus–2 surface group and that either (a) dimZpH1.M IZp / 5 for some prime p, or (b) dimZ2H1.M IZ2 / 4, and the subspace of H 2.M IZ2 / spanned by the image of the cup product H 1.M IZ2/H 1.M IZ2/!H 2.M IZ2 / has dimension at most 1, then volM> 5:06: If we assume that dimZ2H1.M IZ2/ 7 and that the compact core N of M contains a genus–2 closed incompressible surface, then volM> 5:06: Furthermore, if we assume only that dimZ2H1.M IZ2/ 7, then volM> 3:66: 57M50; 57M27
In the 1970's, Thurston and Jorgensen showed that the volumes of orientable finite-volume hyperbolic...
In the present paper, we construct a cusped hyperbolic 4-manifold with all cusp sections homeomorph...
on the occasion of his 70th birthday Abstract. For n−dimensional hyperbolic manifolds of finite vol-...
Let M be a complete, finite-volume, orientable hyperbolic manifold having exactly one cusp. If we as...
Under mild topological restrictions, we obtain new linear upper bounds for the dimension of the mod ...
Abstract. We show that if M is a complete, finite–volume, hyperbolic 3-manifold having exactly one c...
With Robert Haraway, Robert Meyerhoff, Nathaniel Thurston and Andrew Yarmola.We address the followin...
This thesis is a study on the volumes of cusped hyperbolic 3-manifolds with a compact totally geodes...
AbstractIf g is an integer ⩾2, and M is a closed simple 3-manifold such that π1(M) has a subgroup is...
none1noLet W be a compact manifold and let R be a representation of its fundamental group into PSL(...
Abstract. We consider properly immersed finite topology minimal surfaces Σ in complete finite volume...
Let W be a compact manifold and let R be a representation of its fundamental group into PSL(2,C). T...
Let W be a compact manifold and let R be a representation of its fundamental group into PSL(2,C). T...
Abstract. We consider properly immersed finite topology minimal surfaces Σ in complete finite volume...
We consider hyperbolic 3-manifolds with either non-empty compact geodesic boundary, or some toric cu...
In the 1970's, Thurston and Jorgensen showed that the volumes of orientable finite-volume hyperbolic...
In the present paper, we construct a cusped hyperbolic 4-manifold with all cusp sections homeomorph...
on the occasion of his 70th birthday Abstract. For n−dimensional hyperbolic manifolds of finite vol-...
Let M be a complete, finite-volume, orientable hyperbolic manifold having exactly one cusp. If we as...
Under mild topological restrictions, we obtain new linear upper bounds for the dimension of the mod ...
Abstract. We show that if M is a complete, finite–volume, hyperbolic 3-manifold having exactly one c...
With Robert Haraway, Robert Meyerhoff, Nathaniel Thurston and Andrew Yarmola.We address the followin...
This thesis is a study on the volumes of cusped hyperbolic 3-manifolds with a compact totally geodes...
AbstractIf g is an integer ⩾2, and M is a closed simple 3-manifold such that π1(M) has a subgroup is...
none1noLet W be a compact manifold and let R be a representation of its fundamental group into PSL(...
Abstract. We consider properly immersed finite topology minimal surfaces Σ in complete finite volume...
Let W be a compact manifold and let R be a representation of its fundamental group into PSL(2,C). T...
Let W be a compact manifold and let R be a representation of its fundamental group into PSL(2,C). T...
Abstract. We consider properly immersed finite topology minimal surfaces Σ in complete finite volume...
We consider hyperbolic 3-manifolds with either non-empty compact geodesic boundary, or some toric cu...
In the 1970's, Thurston and Jorgensen showed that the volumes of orientable finite-volume hyperbolic...
In the present paper, we construct a cusped hyperbolic 4-manifold with all cusp sections homeomorph...
on the occasion of his 70th birthday Abstract. For n−dimensional hyperbolic manifolds of finite vol-...