Add to ORKGabstract: Reprising the work of Kolpakov and Martelli, a manifold is constructed by face pairings of a four dimensional polytope, the 24-cell. The resulting geometry is a single cusped hyperbolic 4-manifold of finite volume. A short discussion of its geometry and underlying topology is included.Dissertation/ThesisMasters Thesis Mathematics 201
In this note we show that every integer is the signature of a non-compact, oriented, hyperbolic 4-ma...
International audienceWe develop a way of seeing a complete orientable hyperbolic 4-manifold M as an...
AbstractThere are ten diffeomorphism classes of compact, flat 3-manifolds. It has been conjectured t...
We introduce a simple algorithm which transforms every four-dimensional cubulation into a cusped fin...
By gluing some copies of a polytope of Kerckhoff and Storm's, we build the smallest known orientable...
We develop a way of seeing a complete orientable hyperbolic 4-manifold M as an orbifold cover of a C...
We develop a way of seeing a complete orientable hyperbolic 4-manifold M as an orbifold cover of a C...
We develop a way of seeing a complete orientable hyperbolic 4-manifold M as an orbifold cover of a C...
24 pages, 15 figures, typos correctedInternational audienceWe introduce a simple algorithm which tra...
Abstract. We introduce an algorithm which transforms every four-dimensional cubulation into an orien...
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 $4$-...
This is a short survey on finite-volume hyperbolic four-manifolds. We first describe some general th...
This is a short survey on finite-volume hyperbolic four-manifolds. We first describe some general th...
This is a short survey on finite-volume hyperbolic four-manifolds. We first describe some general th...
In this note we show that every integer is the signature of a non-compact, oriented, hyperbolic 4-ma...
International audienceWe develop a way of seeing a complete orientable hyperbolic 4-manifold M as an...
AbstractThere are ten diffeomorphism classes of compact, flat 3-manifolds. It has been conjectured t...
We introduce a simple algorithm which transforms every four-dimensional cubulation into a cusped fin...
By gluing some copies of a polytope of Kerckhoff and Storm's, we build the smallest known orientable...
We develop a way of seeing a complete orientable hyperbolic 4-manifold M as an orbifold cover of a C...
We develop a way of seeing a complete orientable hyperbolic 4-manifold M as an orbifold cover of a C...
We develop a way of seeing a complete orientable hyperbolic 4-manifold M as an orbifold cover of a C...
24 pages, 15 figures, typos correctedInternational audienceWe introduce a simple algorithm which tra...
Abstract. We introduce an algorithm which transforms every four-dimensional cubulation into an orien...
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 $4$-...
This is a short survey on finite-volume hyperbolic four-manifolds. We first describe some general th...
This is a short survey on finite-volume hyperbolic four-manifolds. We first describe some general th...
This is a short survey on finite-volume hyperbolic four-manifolds. We first describe some general th...
In this note we show that every integer is the signature of a non-compact, oriented, hyperbolic 4-ma...
International audienceWe develop a way of seeing a complete orientable hyperbolic 4-manifold M as an...
AbstractThere are ten diffeomorphism classes of compact, flat 3-manifolds. It has been conjectured t...