4 citations · 11 across the 10 of their papers we have counts for
10 papers
Effective length-projection bounds for hyperbolic 3-manifolds diffeomorphic to
Gabriele Viaggi
We give a formula with explicit constants relating the subsurface projection of the end invariants of a hyperbolic 3-manifold diffeomorphic to $S\times…
Effective hyperbolization and length bounds for Heegaard splittings
Peter Feller, Alessandro Sisto, Gabriele Viaggi
We consider 3-manifolds given as Heegaard splittings with the aim to describe the hyperbolic metric of under topological conditions on the splitting guaranteei…
Geometry of hyperconvex representations of surface groups
James Farre, Beatrice Pozzetti, Gabriele Viaggi
We study the geometry of hyperconvex representations of surface groups in and their deformation spaces: We produce a natural holomorphic extension of the…
Topological and geometric restrictions on hyperconvex representations
James Farre, Beatrice Pozzetti, Gabriele Viaggi
We study the geometry of hyperconvex representations of hyperbolic groups in and establish two structural results: a group admitting a hyperconvex represe…
Volume, entropy, and diameter in -higher Teichmüller spaces
Filippo Mazzoli, Gabriele Viaggi
We investigate properties of the pseudo-Riemannian volume, entropy, and diameter for convex cocompact representations of closed -manifold groups. In…
Hyperbolic Heegaard splittings and Dehn twists
Peter Feller, Alessandro Sisto, Gabriele Viaggi
We consider the family of Heegaard splittings of genus at least two which are defined via a gluing map that is the -th power of the Dehn twist along a curve that satisfies a…
Divisible convex sets with properly embedded cones
Pierre-Louis Blayac, Gabriele Viaggi
In this article we construct many examples of properly convex irreducible domains divided by Zariski dense relatively hyperbolic groups in every dimension at least 3. This answers…
Length functions in Teichmüller and anti de Sitter geometry
Filippo Mazzoli, Gabriele Viaggi
We establish a link between the behavior of length functions on Teichmüller space and the geometry of certain anti de Sitter 3-manifolds. As an application, we give new purely anti…
-maximal representations and hyperbolic surfaces
Filippo Mazzoli, Gabriele Viaggi
We study maximal representations of surface groups via the introduction of -invariant pleated surfaces inside the pseudo-Riemannian space $\mat…
Uniform models and short curves for random 3-manifolds
Peter Feller, Alessandro Sisto, Gabriele Viaggi
We provide two constructions of hyperbolic metrics on 3-manifolds with Heegaard splittings that satisfy certain topological conditions, which both apply to random Heegaard splittin…