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pro vyhledávání: '"Mondello, Gabriele"'
Autor:
Mondello, Gabriele, Panov, Dmitri
We analyse local features of the spaces of representations of the fundamental group of a punctured surface in $\mathrm{SU}_2$ equipped with a decoration, namely a choice of a logarithm of the representation at peripheral loops. Such decorated represe
Externí odkaz:
http://arxiv.org/abs/2305.07160
We study the cone of moving divisors on the moduli space ${\mathcal A}_g$ of principally polarized abelian varieties. Partly motivated by the generalized Rankin-Cohen bracket, we construct a non-linear holomorphic differential operator that sends Sie
Externí odkaz:
http://arxiv.org/abs/2207.04139
A subvariety of a quasi-projective complex variety $X$ is called ``universally irreducible'' if its preimage inside the universal cover of $X$ is irreducible. In this paper we investigate sufficient conditions for universal irreducibility. We conside
Externí odkaz:
http://arxiv.org/abs/2105.03861
Publikováno v:
Geom. Topol. 27 (2023) 3619-3698
In this paper we determine the topology of the moduli space $\mathcal{MS}_{1,1}(\vartheta)$ of surfaces of genus one with a Riemannian metric of constant curvature $1$ and one conical point of angle $2\pi\vartheta$. In particular, for $\vartheta\in (
Externí odkaz:
http://arxiv.org/abs/2008.02772
Publikováno v:
Communications in Contemporary Mathematics, 24, (2022) N2, 1-68
The space of Lam\'e 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 and m double poles with vanishing residues. We describe the topolog
Externí odkaz:
http://arxiv.org/abs/2006.16837
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Let $(S,h)$ be a closed hyperbolic surface and $M$ be a quasi-Fuchsian 3-manifold. We consider incompressible maps from $S$ to $M$ that are critical points of an energy functional $F$ which is homogeneous of degree $1$. These "minimizing" maps are so
Externí odkaz:
http://arxiv.org/abs/1910.06557
Autor:
Mondello, Gabriele, Panov, Dmitri
Publikováno v:
Geom. Funct. Anal. (2019), pp. 1-84
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, such as its non-emptiness and connectedness. We also consider some feat
Externí odkaz:
http://arxiv.org/abs/1807.04373
Autor:
Erlandsson, Viveka, Mondello, Gabriele
Let $S$ be a compact, connected, oriented surface, possibly with boundary, of negative Euler characteristic. In this article we extend Lindenstrauss-Mirzakhani's and Hamenst\"adt's classification of locally finite mapping class group invariant ergodi
Externí odkaz:
http://arxiv.org/abs/1807.02144
Autor:
Mondello, Gabriele
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 punctures and nonzero Euler number, following the strategy employed by Hi
Externí odkaz:
http://arxiv.org/abs/1607.04634