Add to ORKGIn this note we show that every integer is the signature of a non-compact, oriented, hyperbolic 4-manifold of finite volume, and give some partial results on the geography of such manifolds. The main ingredients are a theorem of Long and Reid, and the explicit construction of a hyperbolic 24-cell manifold with some special topological properties.Comment: 13 pages, 4 figures, 7 tables To appear in Int. Math. Res. Notices (minor changes wrt the previous version
We show that the number of isometry classes of cusped hyperbolic 3-manifolds that bound geometricall...
We construct some cusped finite-volume hyperbolic $n$-manifolds $M_n$ that fiber algebraically in al...
We develop a way of seeing a complete orientable hyperbolic 4-manifold M as an orbifold cover of a C...
In this note we show that every integer is the signature of a non-compact, oriented, hyperbolic $4$-...
In this note we show that every integer is the signature of a non-compact, oriented, hyperbolic $4$-...
By gluing some copies of a polytope of Kerckhoff and Storm's, we build the smallest known orientable...
There are six orientable, compact, flat 3-manifolds that can occur as cusp cross-sections of hyperbo...
We introduce a simple algorithm which transforms every four-dimensional cubulation into a cusped fin...
We introduce a new real-valued invariant called the natural slope of a hyperbolic knot in the 3-sphe...
We study the geometry of the Margulis region associated with an irrational screw translation $g$ act...
24 pages, 15 figures, typos correctedInternational audienceWe introduce a simple algorithm which tra...
abstract: Reprising the work of Kolpakov and Martelli, a manifold is constructed by face pairings of...
Abstract. We introduce an algorithm which transforms every four-dimensional cubulation into an orien...
We develop a way of seeing a complete orientable hyperbolic 4-manifold M as an orbifold cover of a C...
We show that the number of isometry classes of cusped hyperbolic 3-manifolds that bound geometricall...
We show that the number of isometry classes of cusped hyperbolic 3-manifolds that bound geometricall...
We construct some cusped finite-volume hyperbolic $n$-manifolds $M_n$ that fiber algebraically in al...
We develop a way of seeing a complete orientable hyperbolic 4-manifold M as an orbifold cover of a C...
In this note we show that every integer is the signature of a non-compact, oriented, hyperbolic $4$-...
In this note we show that every integer is the signature of a non-compact, oriented, hyperbolic $4$-...
By gluing some copies of a polytope of Kerckhoff and Storm's, we build the smallest known orientable...
There are six orientable, compact, flat 3-manifolds that can occur as cusp cross-sections of hyperbo...
We introduce a simple algorithm which transforms every four-dimensional cubulation into a cusped fin...
We introduce a new real-valued invariant called the natural slope of a hyperbolic knot in the 3-sphe...
We study the geometry of the Margulis region associated with an irrational screw translation $g$ act...
24 pages, 15 figures, typos correctedInternational audienceWe introduce a simple algorithm which tra...
abstract: Reprising the work of Kolpakov and Martelli, a manifold is constructed by face pairings of...
Abstract. We introduce an algorithm which transforms every four-dimensional cubulation into an orien...
We develop a way of seeing a complete orientable hyperbolic 4-manifold M as an orbifold cover of a C...
We show that the number of isometry classes of cusped hyperbolic 3-manifolds that bound geometricall...
We show that the number of isometry classes of cusped hyperbolic 3-manifolds that bound geometricall...
We construct some cusped finite-volume hyperbolic $n$-manifolds $M_n$ that fiber algebraically in al...
We develop a way of seeing a complete orientable hyperbolic 4-manifold M as an orbifold cover of a C...