34 citations · 119 across the 22 of their papers we have counts for
24 papers
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…
Compact Subvarieties of the Moduli Space of Complex Abelian Varieties
Samuel Grushevsky, Gabriele Mondello, Riccardo Salvati Manni +1
We determine the maximal dimension of compact subvarieties of , the moduli space of complex principally polarized abelian varieties of dimension , and the maximal…
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…
Differentiating Siegel modular forms, and the moving slope of
Samuel Grushevsky, Tomoyoshi Ibukiyama, Gabriele Mondello +1
We study the cone of moving divisors on the moduli space of principally polarized abelian varieties. Partly motivated by the generalized Rankin-Cohen bracket, we c…
Universally irreducible subvarieties of Siegel moduli spaces
Gabriele Mondello, Riccardo Salvati Manni
A subvariety of a quasi-projective complex variety is called ``universally irreducible'' if its preimage inside the universal cover of is irreducible. In this paper we inve…
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…
Moduli spaces for Lamé functions and Abelian integrals of the second kind
Alexandre Eremenko, Andrei Gabrielov, Gabriele Mondello +1
The space of Lamé functions of order m is isomorphic to the space of pairs (elliptic curve, Abelian differential) where the differential has a single zero of order 2m at the origin…
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…
Ergodic invariant measures on the space of geodesic currents
Viveka Erlandsson, Gabriele Mondello
Let be a compact, connected, oriented surface, possibly with boundary, of negative Euler characteristic. In this article we extend Lindenstrauss-Mirzakhani's and Hamenstädt's c…
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…
On the cohomological dimension of the moduli space of Riemann surfaces
Gabriele Mondello
The moduli space of Riemann surfaces of genus is (up to a finite étale cover) a complex manifold and so it makes sense to speak of its Dolbeault cohomological dimension.…
The fine structure of Kontsevich-Zorich strata for genus 3
Eduard Looijenga, Gabriele Mondello
We give a description of the Kontsevich-Zorich strata for genus 3 in terms of root system data. For each non-open stratum we obtain a presentation of its orbifold fundamental group…
A cyclic extension of the earthquake flow II
Francesco Bonsante, Gabriele Mondello, Jean-Marc Schlenker
The landslide flow, introduced in [5], is a smoother analog of the earthquake flow on Teichmüller space which shares some of its key properties. We show here that further propertie…
Two remarks on the Weierstrass flag
Enrico Arbarello, Gabriele Mondello
We show that the locally closed strata of the Weierstrass flags on the moduli spaces of curves of genus g and on the moduli space of curves of genus g with one marked point are alm…
A cyclic extension of the earthquake flow
Francesco Bonsante, Gabriele Mondello, Jean-Marc Schlenker
Let $\cT$ be Teichmüller space of a closed surface of genus at least 2. For any point $c\in \cT$, we describe an action of the circle on $\cT\times \cT$, which limits to the earthq…
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…
Riemann surfaces, ribbon graphs and combinatorial classes
Gabriele Mondello
This survey paper begins with the description of the duality between arc systems and ribbon graphs embedded in a punctured surface. Then we explain how to cellularize the moduli sp…
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…
A remark on the virtual homotopical dimension of some moduli spaces of stable Riemann surfaces
Gabriele Mondello
Inspired by his vanishing results of tautological classes and by Harer's computation of the virtual cohomological dimension of the mapping class group, Looijenga conjectured that t…
Combinatorial classes on the moduli space of curves are tautological
Gabriele Mondello
The combinatorial description via ribbon graphs of the moduli space of Riemann surfaces makes it possible to define combinatorial cycles in a natural way. Witten and Kontsevich fir…