34 citations · 119 across the 22 of their papers we have counts for
11 papers · 1 filter
Minimizing the volume of globally hyperbolic anti-de Sitter 3-manifolds
Gabriele Mondello, Nicolas Tholozan
In this paper we show that the volume of a maximal globally hyperbolic Cauchy-compact anti-de Sitter -manifold is at least , and that this minimum value is attain…
On decorated representation spaces associated to spherical surfaces
Gabriele Mondello, Dmitri Panov
We analyse local features of the spaces of representations of the fundamental group of a punctured surface in equipped with a decoration, namely a choice of a logar…
Moduli of spherical tori with one conical point
Alexandre Eremenko, Gabriele Mondello, Dmitri Panov
In this paper we determine the topology of the moduli space of surfaces of genus one with a Riemannian metric of constant curvature and one coni…
Minimizing immersions of a hyperbolic surface in a hyperbolic -manifold
Francesco Bonsante, Gabriele Mondello, Jean-Marc Schlenker
Let be a closed hyperbolic surface and be a quasi-Fuchsian 3-manifold. We consider incompressible maps from to that are critical points of an energy functional…
Spherical surfaces with conical points: systole inequality and moduli spaces with many connected components
Gabriele Mondello, Dmitri Panov
In this article we address a number of features of the moduli space of spherical metrics on connected, compact, orientable surfaces with conical singularities of assigned angles, s…
Topology of representation spaces of surface groups in PSL(2,R) with assigned boundary monodromy and nonzero Euler number
Gabriele Mondello
In this paper we complete the topological description of the space of representations of the fundamental group of a punctured surface in SL(2,R) with prescribed behavior at the pun…
Spherical metrics with conical singularities on a 2-sphere: angle constraints
Gabriele Mondello, Dmitri Panov
In this article we give a criterion for the existence of a metric of curvature on a -sphere with conical singularities of prescribed angles $2π\vartheta_1,\dots,2π\varth…
Poisson structures on the Teichmueller space of hyperbolic surfaces with conical points
Gabriele Mondello
In this paper two Poisson structures on the moduli space of hyperbolic surfaces with conical points are compared: the Weil-Petersson one and the ηcoming from the representation var…
Riemann surfaces with boundary and natural triangulations of the Teichmueller space
Gabriele Mondello
We compare some natural triangulations of the Teichmüller space of hyperbolic surfaces with geodesic boundary and of some bordifications. We adapt Scannell-Wolf's proof to show tha…
A criterion of convergence in the augmented Teichmueller space
Gabriele Mondello
We prove a criterion of convergence in the augmented Teichmueller space that can be phrased in terms of convergence of the hyperbolic metrics or of quasiconformal convergence away…
Triangulated Riemann surfaces with boundary and the Weil-Petersson Poisson structure
Gabriele Mondello
Given a Riemann surface with boundary S, the lengths of a maximal system of disjoint simple geodesic arcs on S that start and end at the boundary of S perpendicularly are coordinat…