14 citations · 74 across the 14 of their papers we have counts for
14 papers
Convex projective manifolds, symmetric spaces and geometric decompositions
Stefano Riolo, Andrea Seppi, Leone Slavich
We prove that if a closed, indecomposable, properly convex real projective -manifold is geometric or admits a geometric decomposition in the sense of Thurston, then every piece…
Arithmetic trialitarian hyperbolic lattices are not LERF
Nikolay Bogachev, Leone Slavich, Hongbin Sun
A group is LERF (locally extended residually finite) if all its finitely generated subgroups are separable. We prove that the trialitarian arithmetic lattices in $\mathbf{PSO}_{7,1…
Subspace stabilisers in hyperbolic lattices
Mikhail Belolipetsky, Nikolay Bogachev, Alexander Kolpakov +1
This paper shows that immersed totally geodesic -dimensional suborbifolds of -dimensional arithmetic hyperbolic orbifolds correspond to finite subgroups of the commensurator…
Cusps of hyperbolic 4-manifolds and rational homology spheres
Leonardo Ferrari, Alexander Kolpakov, Leone Slavich
In the present paper, we construct a cusped hyperbolic -manifold with all cusp sections homeomorphic to the Hantzsche-Wendt manifold, which is a rational homology sphere. By a r…
Convex plumbings in closed hyperbolic 4-manifolds
Bruno Martelli, Stefano Riolo, Leone Slavich
We show that every plumbing of disc bundles over surfaces whose genera satisfy a simple inequality may be embedded as a convex submanifold in some closed hyperbolic four-manifold.…
Embedding non-arithmetic hyperbolic manifolds
Alexander Kolpakov, Stefano Riolo, Leone Slavich
This paper shows that many hyperbolic manifolds obtained by glueing arithmetic pieces embed into higher-dimensional hyperbolic manifolds as codimension-one totally geodesic submani…
Compact hyperbolic manifolds without spin structures
Bruno Martelli, Stefano Riolo, Leone Slavich
We exhibit the first examples of compact orientable hyperbolic manifolds that do not have any spin structure. We show that such manifolds exist in all dimensions . The co…
New hyperbolic 4-manifolds of low volume
Stefano Riolo, Leone Slavich
We prove that there are at least 2 commensurability classes of minimal-volume hyperbolic 4-manifolds. Moreover, by applying a well-known technique due to Gromov and Piatetski-Shapi…
Embedding arithmetic hyperbolic manifolds
Alexander Kolpakov, Alan W. Reid, Leone Slavich
We prove that any arithmetic hyperbolic -manifold of simplest type can either be geodesically embedded into an arithmetic hyperbolic -manifold or its universal $\mathrm{m…
The complement of the figure-eight knot geometrically bounds
Leone Slavich
We show that some hyperbolic 3-manifolds which are tessellated by copies of the regular ideal hyperbolic tetrahedron embed geodesically in a complete, finite volume, hyperbolic 4-m…
Hyperbolic four-manifolds, colourings and mutations
Alexander Kolpakov, Leone Slavich
We develop a way of seeing a complete orientable hyperbolic -manifold as an orbifold cover of a Coxeter polytope that has a face…
Symmetries of hyperbolic 4-manifolds
Alexander Kolpakov, Leone Slavich
In this paper, for each finite group , we construct explicitly a non-compact complete finite-volume arithmetic hyperbolic -manifold such that ,…
Some hyperbolic 4-manifolds with low volume and number of cusps
Leone Slavich
We construct here two new examples of non-orientable, non-compact, hyperbolic 4-manifolds. The first has minimal volume and two cusps. This example has the lowest nu…
A geometrically bounding hyperbolic link complement
Leone Slavich
A finite-volume hyperbolic 3-manifold geometrically bounds if it is the geodesic boundary of a finite-volume hyperbolic 4-manifold. We construct here an example of non-compact, fin…