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math.DG2026
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…
math.DG2023
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…
math.DG2018
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…