By gluing some copies of a polytope of Kerckhoff and Storm's, we build the smallest known orientable hyperbolic 4-manifold that is not commensurable with the ideal 24-cell or the ideal rectified simplex. It is cusped and arithemtic, and has twice the minimal volume.Comment: 9 pages, 5 figures. Final version, to appear in the Bulletin LM
We construct here two new examples of non-orientable, non-compact, hyperbolic 4-manifolds. The first...
none2noWe prove that there are at least two commensurability classes of (cusped, arithmetic) minimal...
24 pages, 15 figures, typos correctedInternational audienceWe introduce a simple algorithm which tra...
In this note we show that every integer is the signature of a non-compact, oriented, hyperbolic 4-ma...
There are six orientable, compact, flat 3-manifolds that can occur as cusp cross-sections of hyperbo...
abstract: Reprising the work of Kolpakov and Martelli, a manifold is constructed by face pairings of...
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...
In this paper, we obtain the complete classification for compact hyperbolic Coxeter four-dimensional...
We introduce a simple algorithm which transforms every four-dimensional cubulation into a cusped fin...
We prove that there are at least two commensurability classes of (cusped, arithmetic) minimal-volume...
We construct here two new examples of non-orientable, non-compact, hyperbolic 4-manifolds. The first...
We construct here two new examples of non-orientable, non-compact, hyperbolic 4-manifolds. The first...
We prove that there are at least two commensurability classes of (cusped, arithmetic) minimal-volume...
We construct here two new examples of non-orientable, non-compact, hyperbolic 4-manifolds. The first...
none2noWe prove that there are at least two commensurability classes of (cusped, arithmetic) minimal...
24 pages, 15 figures, typos correctedInternational audienceWe introduce a simple algorithm which tra...
In this note we show that every integer is the signature of a non-compact, oriented, hyperbolic 4-ma...
There are six orientable, compact, flat 3-manifolds that can occur as cusp cross-sections of hyperbo...
abstract: Reprising the work of Kolpakov and Martelli, a manifold is constructed by face pairings of...
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...
In this paper, we obtain the complete classification for compact hyperbolic Coxeter four-dimensional...
We introduce a simple algorithm which transforms every four-dimensional cubulation into a cusped fin...
We prove that there are at least two commensurability classes of (cusped, arithmetic) minimal-volume...
We construct here two new examples of non-orientable, non-compact, hyperbolic 4-manifolds. The first...
We construct here two new examples of non-orientable, non-compact, hyperbolic 4-manifolds. The first...
We prove that there are at least two commensurability classes of (cusped, arithmetic) minimal-volume...
We construct here two new examples of non-orientable, non-compact, hyperbolic 4-manifolds. The first...
none2noWe prove that there are at least two commensurability classes of (cusped, arithmetic) minimal...
24 pages, 15 figures, typos correctedInternational audienceWe introduce a simple algorithm which tra...
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